LOK G LIVE | 8.15 PM | CLASS X (STATE/CBSE/ICSE)| LCT-1 DISCUSSION ,EVALUATION,RESULTS

[00:00:04]Hello, stop writing students the test.

[00:00:10]Let us start discussion.

[00:00:13][snorts] Yes, Sani. Good evening.

[00:00:18]All of you join. Stop writing.

[00:00:21]We'll start evaluation of the test LMT1 log Z live stream mathematics test one on trigonometry on trigonometry the 20 marks test trigonometry what all we studied so far in the trigonometry up to identities. A test was given. Join quickly. Stop writing.

[00:00:56]I'll go on discussing.

[00:00:59]Keep your written paper ready.

[00:01:02]Yes. All of you stop writing and join.

[00:01:07]Satic completed paper. All of you completed paper. Let us start the discussion.

[00:01:18]First main question. All of you join the live stream multiple choice questions.

[00:01:25]There are eight before you are late. I will write the number here. 1 2 3 4 5 6 7 8 9 10. You can check it after the discussion.

[00:01:41]I'll solve them so that it will be a revision and check your mistakes.

[00:01:51]Right? You write both answer as well as option.

[00:01:56]I will start a discussion. All of you join. Okay. First question was sin tan theta is = 3x4.

[00:02:08]Here you are asked to find out the value of sin theta plus cos theta divided by sin theta minus cos theta those are not solve it you can note down the solution in your class workbook there is a trick you have to express it in tan theta therefore divide numerator I taught you in the and denominator by cos cos theta.

[00:02:40]If you divide sin theta by cos theta, it becomes what? Sin theta by cos theta becomes tan theta plus cos theta upon cos theta cancels you will get 1 / sin theta upon cos theta gives you tan theta minus cos theta upon cos theta cancels you will get one. Check.

[00:03:06]Now you are given with the tan theta value is 3x 4 plus 1 can be written as 1 by 1 / tan theta is 3x 4 - 1 by 1 is equal to take LCM LCM in the numerator is 4 4 1 4 you'll get 3 + 4 divided by LCM in the denominator is also 4 4 1 are 1 4 you'll get 3 - 4 this 4 4 gets cancelled you get 4 + 3 7 upon -1 + upon - 7 correct answer is B right along with the answer that is minus 7 those are written correctly give marks if you are wrong cut the marks second question those are not solved incorrectly. Solve this again. Second question is Second question is 2 sin² 45° 2 sin square 45° + 3 cos² 60° cos square 60° - tan² 30° is the problem given to you put the values what is the value of sin 45° ° 1 by <unk>2² + 3 into what is cos 60 1 by 2² this is a problem on standard angles then you have minus tan square 30° tan 30 is 1x <unk>3 square you must be perfect 2 into 1 square is 1 <unk>2² is 2 + 3 into 1 square is 1, 2 square is 4 - 1 square is 1 <unk>3² any square number squared you will get three only 2 two cancels you can write the first one as 1 by 1 + 3x 4 - 1 by 3 carefully solve LCM is all of them have no common factor therefore LCM will be four trees are tall 12 ones are 12 1 into 12 4 3 getting me?

[00:05:49]Yes. Yes.

[00:05:52]3 4 Okay. You will get here 12 + 3 3 are 9 - 4. What do you get here?

[00:06:04]What do you get here? Your answer is 12 + 9 is or 12 - 4 is 8. 8 + 9 is 17 by 12. 17 by 12. Correct answer is B.

[00:06:19]17 by 12. Those who have corrected it give one mark. Give one mark. Start evaluation.

[00:06:26]Start evaluation.

[00:06:29]Okay. Let me rub this first problem.

[00:06:32]Those are not wrongly solved it. You can write the correct solution. Third question.

[00:06:40]Third question is I'll separate it.

[00:06:44]Third question is if se + tan a given that se tan a is equal to 2. Check the identity I have given you.

[00:06:58]You are as to get seus tan a. I have given you in the identities. Check in the list. It is equal to 1 upon se k + tan a.

[00:07:08]This is a shortcut formula already I have given you. Therefore correct answer is 1 by 2. C correct answer. C correct answer 1 by two give marks.

[00:07:24]This is the trick. Therefore I have given you identities. Check is it there in your identity. That is third problem.

[00:07:33]Fourth one.

[00:07:35]Four C A is equal to you are given with 4 C A is equal to 7 by 24.

[00:07:43]A is acute that is C A is equal to 4 sorry C A fourth question C A is equal to 7 by 24 then you are asked to get cosec k is there any relation between cosec can you express cosec in terms of c we have the identity in the 33 list which is 1 + c square a 1 + c square theta is equal to cosec square theta square root if you take you will get 1 + cos square a that is equal to 1 + c a is given as 7 by 24² okay you will get here 1 by 1 roo<unk> of 1 by 1 right the square of 7 square is 494 square is 576 make it Perfect 24 square is 576 squares and have tricks of finding squares. I will teach you in a special session of Vic maths vim app you can go to 7.1 topic in the vim app 7.1 topic in vim's YouTube channel download the vim app that will improve your how to find squares and square roots I have discussed there in the YouTube channel you can watch and improve your finding square 24 square take LCM LCM is 576 we'll get here 1 into 576 576 into 1 576 + 49 your [snorts] answer your answer up to 10 very good okay okay I will come slowly because there are some students who are slow therefore I'm solving slowly 9 + 6 is 15. Carry 1. 7 + 5 is 12. Carry 1 6 25 upon 576. Square root of 625 is 25 upon 24. Correct answer. Correct answer for the fourth question is 25 by 24. B is correct answer. Right answer also.

[00:10:17]If you don't write answer, you will get you will be cut with half marks. Those are written only option not answer only answer not option wrong question number you will be punished in the board exam.

[00:10:30]Fifth question.

[00:10:32]The value of 1 upon 1 + tan square a plus 1 upon 1 + c square a. Very interesting, very easy question. You know that 1 upon 1 + tan square is x square plus 1 upon 1 + c square is cos x square.

[00:10:53]What is the reciprocal of se is cos? I can get cos square a 1 upon cosc square a sin square a sin square a + cos square is equal to 1. Therefore correct answer should be b.

[00:11:07]Answer is one.

[00:11:10]I hope you understood the fifth question.

[00:11:14]Take the sixth one. Sixth one. Let me love this part.

[00:11:21]Multiple choice questions. the test your understanding slightly. I have made it difficult so that you can improve. You are given with sin a + cos a is equal to 6th one <unk>2. How many of you have not solved it? You understand it. A is acute. Then you are asked to get sin a into cos a.

[00:11:43]Do one thing. Squaring on both sides.

[00:11:47]Squaring on both sides is the trick to solve this problem.

[00:11:55]Squaring on both sides.

[00:11:58]You can square it to write it as sin a + cos a whole square plus <unk>2 square. Is it not in the form of a + b square? What is a + b whole square? is A² means sin square A + B² is cos square A + 2 A B is 2 sin A into cos A that is equal to <unk>2² will be 2. Now tell me what is sin square a + cos square is 1. This one is 1. Let me write one here. + 2 sin a into cos a that is equal to 2. Those are not solve it. Solve it now. That will improve your skills.

[00:12:49]2 sin a into cos a = take + one to the right side. You will it will become -1.

[00:12:56]2 - 1 is 1. Take 2 to the right. You will get sin a into cos a is equal to 1 by 2. Check how many have you got? How many have you got? Sixth one. Correct answer is B. Sixth one B. Yes. Very good. Very good. Mjunath Di.

[00:13:17]Huh. Sixth one. Correct answer is 1 by 2. Therefore B is correct. You will get the answer 1 by two. Next question is on standard angles.

[00:13:29]Carefully solve study.

[00:13:32]Question number seven.

[00:13:36]7 is what is the value of sin 60?

[00:13:40]Sin 60° into cos 30°.

[00:13:45]The problem given was this. Plus cos 60° into sin 30° whole divided by sec 60° - tan 45° - tan 45° Substitute the values. What is sin 60?

[00:14:10]<unk>3x2 into cos 30 <unk>3x2 + cos 60 is 1 by 2 sin 30 is 1x 2 sec 60 is 2 tan 45 is 1 <unk>3 into <unk>3 <unk>3² becomes 3 2 into 2 4 + 1 into 1 1 2 2's are 4ide by 2 - 1 is 1 what do you get here 3x 4 LCM in the numerator is This one can be neglected. 4 1 4 1 3 + 1 you get it becomes 4 by 4. Cancel it.

[00:14:48]Your answer will be one. Check your answer. How many of you got seventh one?

[00:14:55]So incorrect in 10th. But I'm still watching.

[00:15:02]I'm not 10th. No problem. If you want to improve.

[00:15:09]Okay.

[00:15:12]One. Seventh. Correct answer is B.

[00:15:17]The answer is one. Check. How many of you got one?

[00:15:22]If your answer is wrong, give zero marks. Evaluate the paper. Then you have to send me your marks.

[00:15:30]Eth one. tan a + c a is equal to tan a + c a = you are given with tan by 3 then you are asked to get tan square a + c square a is the question look at here how many of you couldn't solve it there is a formula just you have to make arrangement what is a + b square= is it not a² + b² square + 2 a b. All of you remember it but many of you don't remember. If you take + 2 a b to the left, it becomes what? a + b² minus 2 a b is equal to what? a² + b².

[00:16:19]This formula is going to help you to solve this problem. Remember such generate such formula they will help you in this case. What is square it right? What is a square + b square? a square + b square that is tan square a plus c square a. Can I write it as a is tan a that is tan a. Take a as tan a b as c a. Here a is tan a b is c a. Answer [clears throat] is tan a + c a² - 2 * let me write here - 2 * tan a into c a observe tan square a + c square is equal to the value of tan a + c a is given as tan by 3. Those are not have this approach solve this minus 2 into what is tan into c a is 1. Now you get 10 square is 100 upon 3 square is 9 - 2 by 1 take LCM LCM 9 correct your mistake 9 1 9 you get what 100 - 18 100 - 18 subtract 20 82 82 by 9 check is there any option For seventh one, option B is correct. 82 by 9. Check how many of you got eighth one correct?

[00:17:59]I got which one? Seventh one. Very good.

[00:18:03]Very good. Satic rashant.

[00:18:09]Give the marks. Last two multiple choice questions.

[00:18:13]10th one.

[00:18:16]Ninth one. Let me take the ninth question. If you got any doubts you can ask me cosec minus sin a cosecus sin a into you are going with sek minus cos a se k minus cos a on simplification what do you get? You take right cosec a in terms of sin you get 1 upon sin a minus sin a right se in terms of cos I told you whenever you get best idea is express m in sin and cos sec can be written as one upon cos a minus cos a are you learning it sin a upon 1 cos a upon one try to write like this then you can take lm what is lsc is lcm is sin a sin a into 1 1 into sin a here cos a into 1 1 into cos a you get numerator 1 - sin square a into lcm is cos a cos a 1 - cos square a this is subjective paper in vim app I will upload objective questions 450 50 questions on trigonometry 30 minutes 30 questions will be given you select the course courses are there mathematics course I will upload and inform you you give the test more than 450 questions will there randomly uh the app will select the questions and uh your rank list will be given that is a wonderful test that will prepare for you for the complete exam one is written test this is a subjective test board test another one is objective test objective test I will take in the app only will it will evaluate 1 - sin square a is cos square a upon sin a remember the identity 1 - sin square a cos square 1 - cos square is sin square a upon cos a here cos square a there is cos a one of the cos a one of the cos a cancels sin a one of the sin a cancels I think you are left with sin a into cos a correct option option. Check the correct option is B. B. It is sin A into cos A. Correct answer.

[00:20:48]That is the ninth multiple choice question. How many of you got it?

[00:20:56]Yes. Very good. Very good. Very good.

[00:21:00]Keep it up.

[00:21:02]How many of you got 10th one? You have to evaluate and tell me marks later.

[00:21:10]10th one if a + b = 90°. This is on compliment angles.

[00:21:19]Remember what is complimentary angle is a will be equal to 90 minus b.

[00:21:25]I told you that if you take sin a can take sine ratio on both sides. Sin 90 minus b. Remember generally sin 90 minus theta is the complimentary angle. Compliment angle of s will be cos. Therefore you get a cos b.

[00:21:45]Similarly, if you take if you take cos a now you take take cos on both sides cos a is equal to cos 90 minus b compliment angle compliment angle of cos will be sin simply write it as sin b this idea of compliment angle is going to help you to solve this problem it is not there for state syllabus but it is Therefore IC these are called as complimentary angles. Compliment angle of sign is cos cos is s is c is tan se is cosec is caught. Now I will take the problem 10th one that is sin a upon cos b sin a upon cos b plus cos a upon sin b. Now observe carefully compute the values. What is the sin a you got here? Sin A is equal to cos B.

[00:22:49]Let me write wherever sin A is there put it as cos B upon cos B.

[00:22:54]Plus you got cos A as sin B. Here cos A substitute it as sin B upon sin B. Cos B cos B cancel sin B. Sin B cancels.

[00:23:06]You'll get 1 + 1 will be 2. Correct answer is B for 10th one B two correct answer check how many of you got it correct answer mjun correct answer now we'll move on to the two marks questions okay there are two two marks questions correct them write the total marks out of 10 how many of you got in your answer sheet Now I'll move on to the question number 11. Two more questions.

[00:23:44]Two more questions. In that 11th question is if 3 C A is equal to 4. 3 C A is equal to 4. A is acute. Then what happens to the C A? C A will be equal to 4 by3.

[00:24:05]Given expression is this time 3 sin a + 4 cos a whole divided by 3 sin a minus 4 cos a now observe we want c a to get c a divide like we did earlier numerator and denominator by to get cot divide cos cos by sin. Divide both numerator and denominator by sin a three one by one you go on dividing what is sin a upon sin a will be cancels you'll get 1 + 4 * what is cos a upon sin a becomes c a trick 3 * what is sin a upon sin a is 1 - 4 * what is cos upon sin a every term of numerator and denominator divide by sin a Nothing will change cos a upon sin a becomes c a two mark question for this work I will give you one mark it is a two mark question for expressing it in terms of c otherwise it becomes lengy 3 into 1 is 3 plus 4 into what is the c of value of c a given to you take three to the right becomes a denominator is 4 by3 3. Now it is very easy 3 minus improve your 4 into c is again 4x3.

[00:25:46]Now you can simplify this 3 can be written as 3 by 1 + 4 4 are 16 by3 whole divided by 3 can be written as 3x 1. Carefully solve 4 are 16x 3. Be careful about sign. LCM in the numerator is 3. LCM in the denominator is also three. You'll get 1 3's are 3 3's are 9 + 16 3 1 are here 1 3's are 3 1 are 3 3's are 9 - 16 this three this three cancels 16 - 9 becomes 25 divide by 9 - 16 will be - 7 plus upon minus will be - 25 by 7 will be correct answer if you get it give one more marks For getting this you will get one mark.

[00:26:40]For substituting the values and simplification you will get one mark. If you have done any mistake you cut the marks. Final answer should be - 255 7.

[00:26:50]Even if you use alternate methods they become lengthier. They will kill your time. I hope all of you noted it.

[00:27:02]Which one not defined? Huh? I will check it. Yes. Yes. 12th one is not defined.

[00:27:07]You are correct. You are correct. Not defined. Yes, I will show you.

[00:27:14]Your answer is correct. We will check it now. 12th question is sin 60 sin 60° into cos 30. Correct answer is not defined. Correct answer. It is cos 60° into cos 30°. I will rub this part. I hope you noted it otherwise you rewind it and again see those who are slow learners you can rewind it and again see cos 30° sorry here it is sin 30° I will write it correctly write the question correctly sin 60 cos 30 plus cos 60 sin 30 cos 60° into cos 30°us sin 60° ° into sin 30°.

[00:28:08]Now substitute the values. Sin 60 is <unk>3x2.

[00:28:13]cos 30 is also <unk>3x2 plus cos 60 is also 1 by 2 1 by 2 divided by cos 60 is 1 by 2 into cos 30 is <unk>3x2 minus sin 60 is <unk>3x2 into sin 30 is 1x 2. Simplify roo<unk>3 into roo<unk>3 is <unk>3² is 3 2 2's are 4 + 1 into 1 is 1 2 2's are 4 whole divided by <unk>3 / 2 2's are 4 minus <unk>3 / 2 2's are 4 3x 4 and 1x 4 becomes 1 you are getting zero any number divided by 0 is undefined.

[00:28:57]Yes, undefined is correct answer. It is also written as infinity.

[00:29:02]Correct answer is infinity. For correct substitution, I will give you one mark.

[00:29:07]For writing the answer that it is undefined, you will get one mark.

[00:29:12]Yes, it is undefined.

[00:29:18]13th question answer you wrote as 12.

[00:29:21]Answer 13.

[00:29:31]13th one.

[00:29:33]Let us move on to the 13th. Prove that 1 upon 1 - sin a minus 1 upon 1 + sin a. Now three marks question. Third part you come.

[00:29:49]There are two three marks questions.

[00:29:53]I already sent you the paper.

[00:29:56]Those who want to get the question paper and uh take the benefit of it, you join the WhatsApp group.

[00:30:04]Otherwise, it is meaningless. You have to evaluate it. And this is assessment.

[00:30:10]Then next level will be in the VIMS app.

[00:30:13]Download VIMS app. Go to the courses. We have created courses for state CBSC, maths, science, ICE, CBSC, ICE. We have created courses.

[00:30:28]Download them by paying just 360 rupees.

[00:30:31]All courses app will appalize you. More than 450 tometric questions are uploaded randomly. App will select and give you questions. It is a wonderful test for you. Your real ability you you cannot copy anything there. That is online test. Quit the test.

[00:30:52]30 question 30 minutes. I will you download the course first. I will upload the questions shortly.

[00:31:00]1 + sin a.

[00:31:02]So that will test your reliability like 1x 2 1x3 you take LCM right. You have to find out to prove that it is 2 tan a sect a LCM will be observe 1 - sin a 1 - sin a into 1 + sin a you can write here 1 - sin a into to get lcm you have to multiply 1 + a like you do in arithmetic 1 + a 1 - sin a 1 correct bracket 1.

[00:31:45]Here you have minus sign right into bracket 1 sin a.

[00:31:52]Now remove the brackets everywhere 1 + sin a minus into plus is -1 minus of minus is plus sin a. You can observe the denominator. Is it not in the form of a minus b into a + b? What is a minus b into a + b? A square - B square you'll get 1 square - sin square A you can cancel + 1 - 1. Now in the numerator you are left with In the numerator you are left with let me rub this 12th question.

[00:32:25]Check your ability.

[00:32:28]If you take calcium and write it like this you will get one mark. It is a three mark question.

[00:32:35]Now after remove the bracket you will get half marks if you cancel it. Now sin a and for using this a + b a minus b in this form if you write it you'll get another one mark and last mark will be given for writing the rhs look at here sin a + sin a becomes 2 sin a use the identity 1 - sin square is cos square a for this I will give you half mark now you can write it as 2 * sin a upon cos cos a into one upon cos a I want all subscribers to join the WhatsApp group it is not a YouTube channel it is a course very systematic course I'm using technology you are not subscribers and random viewers for them it is useless you seriously join the WhatsApp group their question paper will be sent written test then app will take the vance app will take the online test. App will analyze and give you result. We need not do anything. App will evaluate it. Right? We'll upload the key answers in the app. App will do it. It is a wonderful game. Enjoy it.

[00:33:55]Sin upon cos a becomes tan a one upon cos a becomes a then that is rhs. Hence the proof of it. For this you will get remaining half mark. Totally three marks. question. It is three marks question.

[00:34:15]Check your paper.

[00:34:17]If you are done up to this, you'll get one mark. If you used a squareus b square formula and simplify numerator, you will get one mark. Then if you write 2 sin a 1 - sin square is cos square half mark. Then if you separate it cos a cos a can be separated you'll get 2 tan a into sec which is rhs you'll get full marks check how many of you got it correctly it is mis typed sometimes it happens what what is what is the thing what is the thing ask me you don't discuss in yourself sir math Hello Mr. Mr. Harish Kumar quit from my quit from my live stream. It is not for idiots.

[00:35:18]It is not for idiots.

[00:35:20]I'm not a YouTuber.

[00:35:27]I'm a senior teacher. Learn to respect the teachers.

[00:35:34]It is not for idiots.

[00:35:37]I have 33 years experience in teaching.

[00:35:39]I am working for serious students. Not for falu people like you.

[00:35:47]Quit. Quit. Go out of my channel.

[00:35:52]Don't do any mage. malicious messages here. You are not here to message.

[00:35:59]Your parents not taught you how to behave with the teachers.

[00:36:05]I'm a very strict teacher. Serious teacher. If you are a serious student, join me otherwise quit. I'm not a YouTuber. I don't want subscribers here.

[00:36:14]I want students, serious students.

[00:36:18]I'm using technology that's all. I'm not doing it for money.

[00:36:24]get lost given that sin theta minus cos theta I want to help poor students who are serious and talented sin theta minus cos theta is 1x 3 now to solve this problem you are asked to get first one is sin theta into cos theta second thing is that you have to find out tan theta plus co theta.

[00:37:03]No, some some some uh some students are coming in live stream and writing meaningless messages. Therefore, I scored them.

[00:37:15]You you can ask doubts when you are before the senior teacher.

[00:37:19]You must know what to write.

[00:37:24]your parents not taught you there are few students social for them I'm telling I'm not telling for serious students now see here any teacher you respect I'm basically a teacher not a YouTuber squaring on both sides first equation squaring on both sides is the trick trick to solve the problem is squaring squaring it is a tech course based on vims one year we worked for it sharing squaring squaring you are spending 30,000 40,000 rupees to get such courses I'm giving them free of cost that to in hundreds from 360 rupees 530 rupees viums download and you are not paying anything to me squaring on both sides I'm doing it as a service to the education field squaring it on both sides what do you get Sin theta. This is for only serious students all over India. If you are serious, join me. Otherwise, you can go to other YouTubers who can enjoy. I respect education. I love education. I want your next generation of my country to be serious and improve their performance in competitive exams.

[00:38:43]A minus B whole square. A minus B whole square. Try to become a good citizen. A - B square. What do you get here?

[00:38:55]A minus B square. That is sin square theta. A - B² + cos² theta minus 2 sin theta into cos theta. This is the only trick to solve this problem.

[00:39:09]1 square is 1 by 9.

[00:39:11]What is sin square theta + cos square theta is 1 - 2 sin theta into cos theta is equal to 1 by 9.

[00:39:23]You do one thing. Take - 2 sin theta and cos theta to the right. Take 1x 9 to the left. You get 1 1 by 9 comes to the left. 1 by 1 - 1 by 9 is equal to 2 sin theta into cos theta 2 sin theta into cos theta. Take LCM.

[00:39:43]LCM is 9 1 9 1. What do you get? 9 - 1 is 8 by 9.

[00:39:50]That is equal to 2 sin theta into cos theta.

[00:39:57]Check your answer.

[00:40:00]2 sin theta into cos theta. Take 2 to the left you will get sin theta into cos theta is equal to 8 / 2 into 9 2 1 2 4 by 9 should be correct answer.

[00:40:15]For this I will give 1 and 1/2 mark.

[00:40:18]Those who solved it one and a half mark those who are serious join my WhatsApp group and download the vims app. I'll promise you definitely you your performance will improve in both computer exams. Once you go to do the first PU as well as your mind speed ability increases by mind maths. We are seriously working. where a team of many teachers all over Karnataka serious teachers are involved here so as to help many students we are doing this one and a half mark take the second problem second problem is for that you will get second part you will get 1 and half mark tan theta plus cos theta express tan theta in terms of sin and cos this is the easiest est way you given it the tan theta plus co theta plus what is co theta is cos cos theta is cos theta upon sin theta seriously learn the things don't disrespect the subject subject is god knowledge is god study is worship cos theta into sin theta sin theta into cos theta you'll get sin theta into sin theta is sin square theta + cos theta into cos theta is cos square theta interesting sin square theta + cos square theta is 1 upon won't you get sin theta into cos theta observe what is sin theta into cos theta is 4 by 9 what is reciprocal of it will be 9x4 for this you will get 1 and half mark check your paper and send me that's all the first test my dear students Next application of trigonometry another one combined class I will complete one exercise is there combined for all state CBC IC and you evaluate your paper seriously and if you are serious learner want to perform well I'm not telling sor to you. I'm telling one student who wrote comment meaninglessly.

[00:42:55]Not for you. Not for serious students.

[00:43:00]Not for serious students.

[00:43:04]I'm not telling about serious students.

[00:43:07]One student, one student commented there. That student name I told them name is not clear there. Therefore I told them quit the not for you. Those who are serious not for you. There are number of messages coming here. One message was meaningless. Therefore I scored that boy.

[00:43:28]Okay. Not for you. Right. For serious students will respect.

[00:43:33]My only relatives are students. I'm here to serve education field in general student community in particular.

[00:43:41]Okay. I'm doing it for more than 33 years. If it is helpful to you and you you are most respected and you can invite your serious friends those who want to learn the things with me and I am here to support them. Okay fine. So that's all students send your marks in the WhatsApp group. Uh and I want serious students to be in the WhatsApp group so that I will be updating you details and soon I will upload in Vim's app. Download Vims app. I not scolded serious students. Please don't mistake me. One student wrote a malicious message.

[00:44:35]Learn this because I love my India and you are Indian.

[00:44:41]If you want you if you have such behaviors, get lost. Go out of my country.

[00:44:49]Okay. I'm sorry.

[00:44:56]Education samscara Indian method. Okay, that's all my dear students. Meet you tomorrow, Friday as usual in separate classes and application of trigonometry.

[00:45:10]As soon as you learn this, you must learn it. That one topic I will complete and that is very important. Five marks questions will appear, four marks questions will definitely appear on that application. that one I will discuss in the next week tomorrow Friday we'll meet in the in your separate time and continue your chapters state and CBSC asset based salts IC students periodic properties we are completing right that's all my dear students meet you tomorrow right study well read well and have good culture learn to behave with elders properly do prayer do meditation And whatever our Indian philosophers, saints told us, you follow them, not the western culture.

[00:45:58]Bye-bye. See you.