Class 12 Maths Misc. Ex. Ch 3 Matrices Solution NCERT BOOK CHAPTER 3 MATRICES PDF Q.1. Class 12 Maths Misc. Ex. Ch 3 Matrices Solution Q.1. If A and B are symmetric matrices, prove that AB-BA is a skew symmetric matrix. \begin{array}{l}Solution:\ A\ and\ B\ are\ symmetric\ matrices.\\\Longrightarrow A’=A\ and\ B’=B\\Now\ ( AB-BA) ‘=( AB) […]
NCERT Class 12 Maths Chapter 1 Miscellaneous Exercise solution Q.1. NCERT Class 12 Maths Chapter 1 Miscellaneous Exercise solution \begin{array}{l}Q.1.\ \ Show\ that\ the\ function\ f:R\rightarrow {x\in R- 1< x< 1} \ defined\ by\ f( x) =\ \frac{x}{1+|x|} ,\ x\in R\ is\ one-one\ and\ onto\ function.\\ Solution:\ To\ show\ one-one:\ Case\ 1.\ Both\\ x_{1} ,x_{2}
NCERT Class 12 Maths Ch 5 Misc. Ex. Solution Q.1. NCERT Class 12 Maths Ch 5 Misc. Ex. Solution \begin{array}{l}Q.1.\ \left( 3x^{2} -9x+5\right)^{9}\\Solution:\ \\y=\left( 3x^{2} -9x+5\right)^{9}\\Differentiate\ w.r.t.\ x.\\\frac{dy}{dx} =\frac{d\left( 3x^{2} -9x+5\right)^{9}}{dx}\\=9\left( 3x^{2} -9x+5\right)^{8}\frac{d\left( 3x^{2} -9x+5\right)}{dx}\\=9\left( 3x^{2} -9x+5\right)^{8}( 6x-9)\\=9\left( 3x^{2} -9x+5\right)^{8} 3( 2x-3)\\=27\left( 3x^{2} -9x+5\right)( 2x-3) \ Ans.\end{array} Q.2. NCERT Class 12 Maths Ch 5 Misc.
NCERT Class 12 Maths Chapter-wise Solutions Importance of NCERT Class 12 Maths Miscellaneous Exercise The NCERT Miscellaneous exercise is not just a revision exercise; this exercise is most important for students for the preparation of board exams because it includes the concept of the whole chapter, and the entire chapter’s concepts are mixed into it.
Introduction to Chapter 2: Inverse Trigonometric Functions NCERT Class 12 Maths Chapter 2 Miscellaneous Exercise Solution lays the foundation of Mathematics. This chapter covers basic introduction of inverse functions of Trigonometry such as Sine, Cosine and tangent in the Trigonometry along with their properties and domain and range. Studying this is quite important for understanding
NCERT Class 12 Maths Chapter 13 (Probability) Q.1. NCERT Class 12 Maths Ch 13 (Probability) Solution Q. 1. A and B are two events such that P (A) ≠ 0. Find P(B|A), if (i) A is a subset of B (ii) A ∩ B = φSolution:(i) A is a subset of B.We have, \begin{array}{{>{\displaystyle}l}}\ A\
NCERT Class 12 Maths Misc. Ex. Ch-11 (3D Geometry) The solutions to the NCERT Class 12 Mathematics Miscellaneous Exercise for Chapter 11, focusing on Three Dimensional Geometry, constitute an indispensable resource for students seeking to master this complex subject. This particular exercise is meticulously designed to consolidate and extend the understanding of advanced topics, including
NCERT Class 12 maths Misc. ex. ch. 10 Q. 1. Solution Q.1. NCERT Class 12 maths Misc. ex. ch. 10 $$\textbf{1. Write down a unit vector in XY-plane, making an angle of }30^\circ\text{ with the positive direction of x-axis}$$ $$\text{The unit vector in XY plane is} \ \begin{aligned}&\text { The unit vector in } \mathrm{XY}
NCERT Class 12 Maths Misc. Ex. Ch. 8 Solution Q.1. Find the area under the given curves and given lines: (i) y = x^2, x = 1, x = 2 and x-axis (ii) y = x^4, x = 1, x = 5 and x-axis(i) ( y=x^2, x=1, x=2 ) and ( x )-axis Area of
NCERT, Class 12, Maths, Chapter 6, Misc. Ex. Solution Q.1. Solution: NCERT Maths Ch 6 Misc. Ex. solution. Q.1. Show that the function given by f(x) = logx/x has a maximum at x = e. Q.2. NCERT Maths Ch 6 Misc. Ex. solution. Q. 2. The two equal sides of an isosceles triangle with fixed
