Inter 1st Year Maths Supplementary Exam Question Paper with Answers| Real Question Paper| #maths

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[00:00:03]Hello, welcome to my YouTube channel.

[00:00:05]Today's video is about the mathematics paper one supplementary exam conducted on 25th May 2000 26. That is today, just now the exam is over. Now I'm bringing you this question paper with answers to section A only.

[00:00:24]Immediately after 1 hour, I will prepare the complete question paper with answers for all the questions. And now immediately I will upload one more video. Till then, you can go through this complete question paper with answers to one marks questions only. So here, the first question is if A is equal to the set containing the elements 1 2 3, B is equal to the set containing the elements A {comma} B, then A cross B is So here, the correct answer is three.

[00:00:52]Second one, let X {comma} Y belongs to R, then X + Y is a non real complex number if If imaginary part is not zero, then it becomes a non real complex number for which Y is not equal to zero.

[00:01:08]Next, third one. The number of arrangements that can be made out of the letters in the expression A to the power of four, B cubed, C to the power of five is 12 factorial by four four factorial into three factorial by five factorial. The expansion of X + Y whole to the power of 1000 is Answer two is correct.

[00:01:30]If the distance between the points P 0 {comma} A {comma} 3 and Q 3 {comma} 0 {comma} 7 is 41 then A is equal to A is equal to plus or minus four.

[00:01:41]Let A {comma} B be two events such that P of A is equal to 0.8 and P of B is equal to 0.7, then P of A intersection B is P of A union B is either equal to one or less than one. So comparing this, we get it is more than 0.5 but less than 0. More than or equal to 0.5 and less than or equal to 0.7. But of the given answers only two is correct. Seventh question is if x is the x such that x belongs to r and -4 is less than x is less than or equal to 6 write an interval. So left side it is an open interval 4 2 right side it is closed interval because x is not equal to -4 but x is equal to 6 also and the numbers present between -4 to 6 including 6 are present in this one.

[00:02:35]So left open right closed -4 to 6. This is the interval. The eighth problem is find the value of sin of 31 pi by 30. So this can be written as sin of 10 pi plus pi by 3.

[00:02:56]10 pi plus pi by 3 is 31 pi by 3. So this 10 pi by 3 is two times 5 pi. So it becomes n times 2 pi. So sin n times 2 pi plus pi by 3 is sin pi by 3 and sin pi by 3 is sin 60. Sin 60 is root 3 by 2.

[00:03:19]Find the term a9 in the sequence whose nth term is an is equal to this is given. So in order to get a9 put n is equal to 9 then -1 to the power of 8 it becomes which is plus 1 and 9 cubed. So the answer is 9 cubed.

[00:03:36]Find the equation of the line which passes which passing through the points -1,1 and 2,-4. In so many ways you can calculate it but the answer you get is 5x plus 3y plus 2 is equal to 0.

[00:03:56]Find the eccentricity of the hyperbola y squared by b squared minus x squared by a squared is equal to 1.

[00:04:03]This is e is equal to square root of 1 + a squared by b squared. This is the answer.

[00:04:14]Next, find the derivative of the function ax + b whole to the power of n.

[00:04:18]Its derivative is n times ax + b whole to the power of n minus 1. These are the answers for the one marks questions. Now, I just scroll down it while reading the remaining sections.

[00:04:36]The problems and their solutions to the questions from 13 onward, question number 13 onwards, will be uploaded in the next coming video. You can wait and see for at least 1 hour or 1 hour 30 minutes. Answer all the questions. Each question carries two marks. If x is equal to a b c d and y is equal to f b d g, find x minus y, y minus x, x intersection y. If a is equal to the set containing minus 1 comma 1, find a cross a cross a.

[00:05:10]15th, prove that sin of n + 1x sin of n + 2x + cos of n + 1x cos of n + 2x is equal to cos x. 16th question, find the multiplicative inverse of 2 minus 3i. 17th question, if 18 p r minus 1 is to 17 p r minus 1 is equal to 9 is to 7, find r. Write down and simplify sixth term in 2x by 3 + 3y by 2 whole to the power of 9. 19th question, find the equation of the parabola with vertex 0 comma 0 and passing through 5 comma 2 and symmetric with respect to Y axis.

[00:05:49]20th question, three vertices of a parallelogram ABCD are four A 3, -1, 2, B 1, 2, -4 and C -1, 1, 2. Find the coordinates of the fourth vertex. 21st question, compute limit of a x - a to the power of x - 1 by b to the power of x - 1 where x tends to 0. A is greater than 0, B is greater than 0 and B is not equal to 1.

[00:06:16]22nd question, find the mean and variance for the following data: 6, 7, 10, 12, 13, 4, 8, 12.

[00:06:25]Section C, answer any seven questions.

[00:06:28]Each question carries four marks. There is a choice here. 23rd question, if A is equal to the set containing these five elements and B is equal to the set containing four elements, C is equal to three elements the set D contains a set containing two elements, then you have to calculate A intersection B, A intersection of B union D, A intersection B, intersection of B union C, A union D, intersection of B union C.

[00:06:54]24th question, A is equal to the set containing the elements 1, 2, 3, 4, 5, 6. Define a relation R from A to A by R is equal to x, y such that y is equal to x + 1. Depict this relation using an arrow diagram. Write down the domain, codomain and range of R. Show that the points in an organ plane represented by the complex numbers given here are vertices of a rhombus.

[00:07:19]26th one, solve the inequalities and represent the solutions graphically on number line.

[00:07:25]27th question, simplify 34 C 5 + sigma r is equal to 0 to 4 38 - r c 4.

[00:07:34]28th question, if n is a positive integer, then prove that C 0 + C 1 by 2 + C 2 by 3 and so on C n by n + 1 is equal to 2 to the power of N + 1 - 1 by N + 1.

[00:07:47]29th question is if A -1,1 B 5,3 are opposite vertices of a square in the XY plane, find the equation of the other diagonal not passing through AB of the square. 30th question, find the equation of the ellipse with major axis along the x-axis and passing through the points 4,3 and -1,4.

[00:08:09]31, find the derivative of the function x - 1 into x - 2 from first principle.

[00:08:15]32, a die is thrown, find the probability of following events. A prime number will appear, a number greater than or equal to three will appear, a number less than or equal to one will appear, a number more than six will appear.

[00:08:29]Section D, answer any five questions, each question carries eight marks. If F is equal to 4,5, 5,6 and 6, -4 and G is the set containing 4, -4, 6,5, 8,5, then find F + G, F - G, 2F + 4G, F + 4, FG, F by G.

[00:08:51]34, prove that sin 7x + sin 5x + sin 9x + sin 3x all divided by cos 7x + cos 5x + cos 9x + cos 3x is equal to tan 6x.

[00:09:04]38th question, find the sum of the series 0.6 + 0.66 + 0.666 up to n times.

[00:09:12]36th one, show that the straight lines x + y is equal to zero, 3x + y - 4 is equal to zero and x + 3y - 4 is equal to zero form an isosceles triangle. 37th, find the equation of the circle passing through the points 0,0, 2,0 and 0,2.

[00:09:30]38A, if f(x) is equal to the function defined as modulus of x + 1 if x is less than 0, 0 if X is equal to 0, and modulus of X - 1 if X is greater than 0.

[00:09:44]For what values of A does limit of f of X as X tends to A exist?

[00:09:51]B, find the derivative of 5 sin X + e to the power of X log X. 39th question, the diameters of circles in mm drawn in a design are given below. Diameter 33 to 36, 37 to 34, 37 to 40, 41 to 44, 45 to 48, 49 to 52. Whose number of circles are 15, 17, 21, 22, 25 respectively.

[00:10:15]Calculate the standard deviation and mean deviation of the circles.

[00:10:19]40th question, the number of the number lock of a suitcase has four wheels, each labeled with 10 digits, that is from 0 to 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the right sequence to open the suitcase? So, this is the complete question paper with answers to first 12 questions of one marks is prepared and brought before you. If you are new to my channel, please subscribe to my channel.

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