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NCERT Sol Maths Class XII Ch-3 | Matrices

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Solution of Important Question of NCERT Book Class XII Chapter 3 Matrices Get Free NCERT Solutions for Class 12 Maths Chapter 3 Matrices. Solution of important questions of NCERT book  solved by Expert Teachers as per NCERT (CBSE) Book guidelines. NCERT Exercise 3.2 Q.18:  If I is an identity matrix of order 2 x 2 then show that  \[I+A=I-A\begin{bmatrix} cos\alpha &-sin\alpha \\ sin\alpha & cos\alpha \end{bmatrix}\; \; where\] \[A=\begin{bmatrix} 0 &-tan\frac{\alpha }{2} \\ tan\frac{\alpha }{2}& 0 \end{bmatrix}\] Solution \[Let\; \; tan\frac{\alpha }{2}=t\]\[Then\; \; A=\begin{bmatrix} 0 &-t \\ t&0 \end{bmatrix}\] \[LHS= I+A=\begin{bmatrix} 1 &0 \\ 0 & 1 \end{bmatrix}+\begin{bmatrix} 0 &-t \\ t&0 \end{bmatrix}=\begin{bmatrix} 1 &-t \\ t & 1 \end{bmatrix}\] \[Now:\; \; cos\alpha =\frac{1-tan^{2}\frac{\alpha }{2}}{1+tan^{2}\frac{\alpha }{2}}=\frac{1-t^{2}}{1+t^{2}}\;\; and\] \[sin\alpha =\frac{2tan^{2}\frac{\alpha }{2}}{1+tan...

Math Assignment Class X Ch-5 | Arithmetic Progression

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MATHEMATICS ASSIGNMENT   [CHAPTER 5] Extra questions of chapter 5 class 10 Arithmetic Progression with answer and  hints to the difficult questions. Important and useful math assignment for the students of class 10 Basic points of  Arithmetic Progression  

Math Assignment Class X Ch-4 | Quadratic Equations

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  Math Assignment / Class X / Chapter 4 /  Quadratic Equations Extra questions of chapter 4 class 10 Quadratic Equations with answer and  hints to the difficult questions. Important and useful math assignment for the students of class 10 For better results Students should learn all the  basic points of  Quadratic Equations   Student should revise N C E R T book thoroughly with examples. Now revise this assignment. This assignment integrate the knowledge of the students. ASSIGNMENT FOR 10 STANDARD QUADRATIC EQUATIONS ********************************************************************************  Question 36 Out of a number of Saras birds, (1/4)th  of the number are moving about in Lotus plants, (1/9)th  coupled with (1/4)th,   as well as 7 times the square root of the number moving on a hill, 56 birds remain on trees.   What is the total number of words. Solution Let total birds = x No. of birds ...

Lesson Plan Math Class 10 Ch-1 | Real Numbers

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lesson Plan Maths Class 10 Real Numbers Lesson Plan in mathematics class 10 chapter 1 Number System. New Technology Integrated Lesson Planning in Mathematics for mathematics teacher. Technology Integration Lesson Plan (CBSE Guidelines) (with Constructivism Elements) Teacher                    :   XYZ School                         :     XYZ Subject Area(s)        :  Mathematics Grade Level / Class    :  10  th  Grade Lesson Title/Topic   : Number System Estimated Duration:  This lesson is divided into eight modules and it is completed in eight class meetings. Each class meeting should ...

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