Introduction to Career Guidance After 12th Choosing a career option after completing 12th grade is an important decision in a student’s life. At this stage, students get quite confused because they have a large number of career options, but along with that, there are expectations of the family, outside society and pressure. In such a […]
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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)
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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
Introduction to High School Math Online Tutoring In today’s world, High School Math Online Tutoring has become most essential part of student’s life. After Corona pandemic, the world faced challenges in getting education. And it brought a new opportunity for the students when they can get quality education at the comfort of their homes. Online
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\
