12th maths 🔥 volume 1 in 4 months 😱

Added: 2026-05-04

[00:00:01]Hello everyone.

[00:00:04]Volume 1, how to finish in 4 months.

[00:00:13]What is in 12th maths volume 1?

[00:00:24]I don't know any YouTube channel that is best to follow. So let it be. I don't know important two mark, three mark questions.

[00:00:32]Two mark, three mark, five mark areas.

[00:00:34]I don't create a question areas important.

[00:00:39]4 months plan back home.

[00:00:44]Okay, now I don't know first of all I don't know what to do. 4 months plan I don't know I don't know I don't I don't know I don't know what is come book. I don't know special note for sent them sent them I don't know I don't know I don't know I don't know. Best sources for creative questions.

[00:01:00]I don't know sources previous year question papers I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:01:07]So first chapter wise I don't know chapter I don't know intro.

[00:01:15]First chapter I don't know applications of matrices and determinants. I don't know I don't know I don't know I don't know I don't know I don't know I don't know. Just me and 11th standard I don't know I don't know. Determinant matrix determinant I don't know I don't know I don't know I don't know I don't know I don't know I don't know. The chapter I don't know I don't know I don't know I don't know. Next chapter two complex I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:01:33]Imagine numbers I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:01:39]So next third chapter I don't know I don't know I don't know I don't know I don't know I don't know. 2x squared plus 3x plus 5 equal to 0 I don't know I don't know I don't know I don't know I don't know I don't know I don't I don't know I don't know.

[00:01:49]I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't I don't know I don't know. Third chapter I don't know next fourth chapter inverse trigonometric functions. I don't know 11th standard I don't know I don't know I don't know I don't know I don't know I don't know.

[00:02:01]I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't 10th grade I don't know sign cos tan table I don't know I don't know I don't know I don't know. I don't know chapter I don't know I don't know. 11th trigonometry I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know chapter 5 two dimensional analytical geometry. I don't know I don't know. 11th standard I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:02:22]Easy I don't know score I don't know I don't know I don't know. Next chapter 6 vector algebra I don't know I don't know 11th grade I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know. I don't know concept I don't know I don't know I don't know. I don't know 11th grade I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:02:41]So I don't know I don't know I don't know I don't know I don't know.

[00:02:43]Sorry I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know.

[00:02:48]Next I don't know chapter I don't know I don't know I don't know I don't know I don't know.

[00:02:51]So first chapter I don't know applications of matrices and determinants. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:02:57]First 1.1 I don't know I don't know I don't know I don't know I don't know I don't know. Just plus minus multiplication division I don't know I don't know I don't know I don't I don't know I don't know I don't I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't I don't know I don't know. I don't know minor matrix cofactor matrix I don't know I don't know I don't know I don't know I don't know. I don't know I don't know cofactor matrix I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't I don't know I don't know I don't know I don't know I don't know. 1 by determinant of I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know. I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know. I don't know I don't know I don't know.

[00:03:31]Just a plus or minus I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know. 5 marks for first chapter first chapter I don't know. I don't know I don't know I don't know I don't know I don't know I don't know last I don't know I don't know.

[00:03:42]Next 1.1 1.2 I don't know rank. Rank rank of the matrix I don't know I don't know. 1 2 3 0 0 0 0 1 0 I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know. I don't know I don't know I don't know. I don't know I don't know. I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know.

[00:04:06]I don't know I don't know. I don't know I don't know I don't know I don't know I don't know. I don't matrix I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know. I don't know I don't know.

[00:04:15]I don't know leading diagonal I don't know I don't know I don't know I don't know I don't know I don't know I don't non-zero element I don't know I don't know I don't know I don't Gauss-Jordan method I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know.

[00:04:25]I don't know I don't know I don't know.

[00:04:26]I don't know I don't know I don't know I don't know I don't know I don't know I don't know. elementary row transformations I don't know. I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know. But in the chapter I don't know I don't know I don't know. I don't know plus or minus I don't know I don't know I don't know I don't know I don't know I don't know I don't know. Matrix inversion method ax equal to b I don't know I don't know. Sorry ax equal to b I don't know I don't know. I don't know I don't know I don't know I don't know I don't know. I don't know I don't know a inverse b a inverse b I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:05:00]I don't know I don't know I don't know.

[00:05:01]I don't know system of equations I don't know x plus y equal to 5 2x minus 5 equal to 6 Sorry 2x minus y equal to 6 I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know equal to I don't know I don't know I don't know. I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. x equal to I don't know I don't know. I don't know I don't know I don't know I don't know I don't know. divided by I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. Sorry I don't know I don't know. Next Gaussian elimination I don't know I don't know. I don't I don't know I don't know I don't know I don't know I don't know I don't know. x coordinate y coordinate z coordinate multiply by equal to I don't know I don't know I don't know I don't know. I don't know I don't know I don't know. I don't know I don't know. I don't know I don't know. I don't know testing testing for consistency I don't know.

[00:05:49]I don't know rank of a one I don't know matrix I don't know I don't know I don't know I don't know. I don't know matrix I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know. consistent I don't know I don't know. I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't I don't know I don't I don't know I don't know I don't know I don't know I don't know. Next 1.7 I don't know. homogeneous equations I don't know I don't know. x value y value z value I don't know I don't know I don't know I don't know I don't know.

[00:06:12]1.8 I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

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[00:06:35]I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know. I don't know. I don't know I don't know I don't know I don't know I don't know.

[00:06:42]I don't know I don't know I don't know I don't know I don't know I don't I don't know I don't know I don't know I don't know I don't know.

[00:06:46]I don't know I don't know I don't know I don't know I don't know I don't know I don't know. 1.1 1.2 I don't know mostly two mark and three mark I don't know.

[00:06:52]Small sums in matrix inversion I don't know. 2 cross 2 matrix I don't know I don't know I don't know I don't know I don't know I don't know two mark. I don't know three cross three matrix I don't know I don't know I don't know I don't know. I don't know five mark I don't know I don't know.

[00:07:04]Next important five mark areas I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know. five mark I don't matrix mission Cramer's rule Gaussian elimination I don't know I don't know I don't know I don't know I don't know I don't know.

[00:07:15]consistency based problems I don't know I don't know I don't know I don't know I don't know. I don't know Gauss-Jordan method I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't So next I don't know creative sums.

[00:07:27]Creative sums I don't know I don't know I don't know I don't know I don't know.

[00:07:29]I don't know. I don't know. Cramer's rule or matrix inversion I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't I don't know I don't know I don't know I don't know. Some creative from formulas given inside textbook boxes. Do you know box I don't know I don't know I don't know I don't know I don't know I don't know I don't I don't know I don't know I don't I don't know I don't know. I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't formula I don't know one mark or two mark or three mark compulsory I don't know I don't know. I don't know. I don't know 2024 compulsory two mark I don't know. Just a simple formula book inside formula I don't know. I don't know I don't know I don't know I don't know I don't know I I don't know two mark compulsory I don't know I don't know. 2025 created one mark based on formula I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:08:14]So next Next where to focus in the middle of the land I don't know I don't know I don't know know.

[00:08:20]I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know.

[00:08:25]formulas book I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:08:35]I don't I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:08:41]three mark or five mark matrix problems I don't know I don't know. I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know. I don't know. I don't know plus or minus I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:08:54]So I don't know I don't know I don't know. I don't know I don't know. I don't know I don't know I don't know I don't know. I don't know I don't know I don't know. three mark and five mark I don't know I don't know I don't know. Next complex numbers complex numbers I don't know I don't know I don't know. a plus ib I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't know.

[00:09:10]So I don't know. I don't know I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know I don't know I don't x equal to root of minus one I don't know no solution I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know sorry x equal to x equal to square root of minus one I don't know. I don't know I don't know I don't know I don't know I don't know.

[00:09:30]square root of minus one equal to i i squared I don't know.

[00:09:34]minus one i cubed I don't know. I don't know I don't know I don't know I don't know. i power four I don't know I don't know I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know. i power 25 I don't know I don't know I don't know. I don't know I don't know I don't know I don't know I don't know I don't know.

[00:09:48]Sorry I don't know I don't know I don't know I don't know I don't know I don't know I don't know I simple I don't I don't know I don't know I don't know.

[00:09:54]2.2 I don't know a plus ib I don't know complex number I don't know c plus id I don't know complex number I don't know.

[00:09:59]I don't know I don't AC sorry You plus See you Plus or minus multiplication division 2.1 2.5 Just half an 2.6 2.7 2.7 2.8 easy on the exercise.

[00:10:34]Okay.

[00:10:36]And I have found some of the rectangular form.

[00:10:39]e power i theta complex number You want to one two mark three mark one something five Actually in the chapter important two mark and three mark areas but in the power of five I I order 2025 I order probably 2026 mission of I power 2025 easy other one just I power I learn the I power memory 2.2 model equating real and imaginary parts one could get it ready complex number real real real X plus I Y equal to a plus I ready equal unknown equal next simplify to rectangular form X plus I Y conjugate division complex conjugate multiplicative inverse and modulus modulus a plus I B modulus square root cooler a square imaginary part square next square root of formula I can begin circle and the square root of circle Okay.

[00:12:06]triangle but you important purely purely imaginary but I find out next mostly show that X square plus Y square equal argument fourth root cube roots of unity I bring the money that you plus eight that you plus 27 solve important next creator one of most chapter asking question can do it creator powers put it I arithmetic operations addition multiplication addictive inverse multiplicative inverse mostly creator 2023 Euler's formula e power i theta equal to cos theta plus theta book book but YouTube book back formula formula but most e power theta formula so book easy Okay. money formula next 2025 creator find the square root of I square root get mostly public exam creator next where to to concept clearly all forms rectangular polar Euler and the roots complex numbers if you don't don't just understand conversions and one another convert deeper best channel Okay.

[00:14:13]next third next third first 3.1 only intro two more roots I don't even like you one root two roots square you didn't even you know more next 3.2 conjugate root theorem a brown rational theorem theorem for example root 5 plus I mean root can do it equation root 5 minus root 3 minus root plus I root 5 minus root 3 root I Okay. I combinations minus minus root mix roots next AP GP arithmetic geometric progression sequence and the roots 10th one next some say I don't even bracket another time you know you know join multiply solve just solving number rational theorem discard this rule the X power money good morning equation I can roots you know what you know I don't imaginary I you know what I don't three number easy next one mark questions next important two mark three mark mostly number small easy overall number easy second number I don't small where focus five mark areas on the and question number AP GP related next two roots I don't X power equation X power explain X power zero constant equation you know two roots with which are root can do and the five I I knowledge explain number small good five explain 3.4 and the model explain the model next 3.5 and the five can do explain actually next some mostly I can do can do solve solve I easy next one one mark can do one interior one theoretical rational theorem fully theoretical direct one mark explain I don't one day conceptual I copy I explain next statement I don't I don't not good morning can do explain I don't can do I can do so I next chapter so fourth trigonometry one of the lesson chance Okay. I don't even trigonometry but just cosine zero 20 30 40 60 90 the way number number number Okay.

[00:17:22]first sign sign sign some sign degree sign I mean cosine cosine inverse tan tan inverse persecute cotangent I don't even next inverse functions properties I don't formulas I don't I don't sign square cos equal to I don't I don't number I don't next one mark and 4.5 tan function number I don't you know five I don't fourth up five mark you know I don't I don't easy tan plus tan B formula explain I don't explain I don't easy formula Okay. I I don't explain I don't mostly I don't I don't next I don't 4.2 and and some say 4.3 and some say 4.4 and some say 4.5 full next wait is one some in two mark three mark one some five mark if possible Okay.

[00:18:23]creator some say simple 2025 formula some say creator explain formula explain I don't explain I don't formula just formula explain formula next in the in the chapter can do I don't explain graph graph of six trigonometry functions sign draw sign draw sign in X you can do graph can do I I trigonometry I don't main and inverse graph next domain and you know between minus five two and five two you know zero zero infinity you know Okay.

[00:19:06]I don't can do I the values you know sign 30 you know I mean you know answer is I don't domain range I don't Okay. I don't explain I full mark two mark I don't starting properties formulas formulas just I don't I I don't explain next the model in the model explain number I don't can do I you know I don't I don't can do easy I don't explain full explain number I don't I don't can do I explain chapter I don't must full I don't explain creator some explain Okay.

[00:19:46]so I don't fourth up you know three important areas next fifth up two dimensional analytical geometry one of the four fifth and sixth five mark chapter just theory types just formula chapter but you need to diagrammatically fifth chapter sixth chapter So fifth either first chapter circles matter circles easy interesting x squared plus y squared equal to one is the circle equation.

[00:20:29]vertices x minus h the whole squared plus y minus k the whole squared equal to one Next parabola ellipse hyperbola parabola will be like this shape.

[00:20:44]Sorry parabola will be like this shape.

[00:20:47]Ellipse will be like this shape. It will be like this shape.

[00:20:50]Hyperbola will be like this.

[00:20:53]You can parabola equation hyperbola equation You can do perpendicular Next identifying shape from equation x squared plus two x y 5.3 exercise area Just five minutes you can do.

[00:21:25]Okay.

[00:21:27]Next 5.4 you can do parametric form.

[00:21:30]x x equal to You can do equation like this parametric form of shapes you can do different like this. Next 5.5 full word problems. I don't know bridge I don't know water fountain.

[00:21:45]Next hyperbolic hyperbolic shape in the nuclear tower you can do like this.

[00:21:53]Just one but you can do chapter five circle equation I don't know You can do circle equation I don't know like this.

[00:22:01]5.2 5.2 5.1 five mark question So in the chapter you can do five mark question in public exam.

[00:22:09]Mainly 5.5 You can do created Next created questions high number especially five marks like higher questions like 2023 you can do created five marks from exercise 5.5 application based questions. Okay. Next 2025 you can do created some from five mark exercise 5.2 Okay.

[00:22:36]five mark exercise 5.1 5. Sorry 5.2 and the 5.5 5.4 you can do three mark Next where to focus be thorough with formulas focus you can do full understand you can do diagrammatic approach like be thorough with all formulas of all conic shapes circle parabola ellipse hyperbola You can do like this.

[00:22:59]You can do like this. You can do like this. You can do like You can do like this. You can do like this chapter you can do like this. You can do like this correct method you can do like You can do like this. You can do like this. Next best channel Raw Maths Raw Maths diagrammatic approach like this.

[00:23:11]You can do like this.

[00:23:12]Metro you can do like this you can do like You can do time save like this. You can do like this grouping techniques like this. You can do parabola You can do like this. You can do like this exercise. You can do like this. You can do like this parabola you can do like this. You can do like this method you can do like this. You can do like this you can do You can do like this you can do like this you can do like this five to six sums at a time 30 minutes video you can do Okay. First Raw Maths understand you can do After grouping techniques You can do You can do like this.

[00:23:39]You can do like this.

[00:23:41]You can do created You can do like this. Okay.

[00:23:46]So next chapter six vector algebra public exam five mark important chapter So first exercise exercise 6.1 like this proving formulas using vector method You can do formulas 11th standard trigonometry formulas You can do like this.

[00:24:03]You can do like this. You can do like this proving formulas formula You can do proof like this vector method like So you can do like this.

[00:24:12]formula you can do like this.

[00:24:14]Next scalar triple product a dot b cross c Okay. You can do product of scalar product product just You can do vector coefficients like this. You can do determinant like this and the answer You can do like this vector product like this. Sorry you can do scalar vector triple product like this.

[00:24:33]You can do like this. You can do next in the 6.3 You can do 6.1 like this. 6.2 6.3 you can do like this. Next 6.4 6.5 You can do 6.9 like this. You can do like this you can do like this. You can do like this. You can do like this you can do You can do like this. You can do like this you can do like this. You can do like this you can You can do like this.

[00:24:54]You can do like this you can do like this.

[00:24:56]You can do like this 6.7 very very important You can do like this mostly you can do five mark question You can do created question You can do Metro like this you can do like this.

[00:25:05]You can do like this in the in the exercise You can do like this. You can do like You can do like this you can do like You can do like this you can do like this formula you can do like this you can do like You can do like this. You can do like this and the grouping techniques 6.7 Next mostly five mark question you can do like this.

[00:25:22]6.1 6.3 6.5 6.7 6.9 You can do like this you can do like this. Mostly you can do like this five marks question You can do like this you can do like this yeah. You can do like this 6.7 confirm You can do like this.

[00:25:37]Sometimes 6.1 question Sometimes 6.9 you can do like this.

[00:25:41]Okay.

[00:25:42]You can do like this chapter important like fifth chapter 6.10 just one mark question Next weightage confirm one sum in each two mark and three mark Confirm two sums in five mark public exam like Important two mark three mark area Important two mark three mark question mostly parallel piped volume you can do like this like You can do mostly two mark three mark question Next expanding scalar triple product scalar triple product expand like this.

[00:26:06]6.3 you can do like this. Next angle related question I don't know plane plane angle in the plane plane line angle angle in the line line angle You can do like this you can do formula you can do like this. You can do like this line line plane You can do like this formula plane line you can do like this formula You can do simple mostly three mark question Next 6. five mark question 6.3 You can do like this 6.1 3 5 7 9 6.1 sign cos proof proof formula theorem Apollonius theorem You can do like this. Next created sums few in five mark You can do like this 6.7 yeah. You can do like You can do like this. You can do like this mostly created You can do like this easy like Okay. Next based on angle distance line plane equations You can do like angle you can do like this like line line plane plane You can do like this.

[00:26:55]You can do number You can do like this.

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