RD Sharma Class-12

240+ posts

Similar Topics

7.5k+ articles

3.4k+ articles

1.4k+ articles

1.4k+ articles

750+ articles

200+ articles

Class 12 RD Sharma Solutions - Chapter 27 Direction Cosines and Direction Ratios - Exercise 27.1

Last Updated: 16 May 2021

Question 1. If a line makes angles of 90°, 60°, and 30° with the positive direction of x, y, and z-axis respectively. Find its direction cosines.Solution:Let us considered ...read more

Class 12 RD Sharma Solutions - Chapter 6 Determinants - Exercise 6.3

Last Updated: 08 May 2021

Question 1. Find the area of the triangle with vertices at the points:(i) (3, 8), (−4, 2) and (5, −1)Solution:Given (3, 8), (−4, 2) and (5, −1) are the vertices of the tri ...read more

Class 12 RD Sharma Solutions - Chapter 7 Adjoint and Inverse of a Matrix - Exercise 7.2

Last Updated: 28 March 2021

Find the inverse of each of the following matrices by using elementary row transformation(Questions 1- 16):Question 1.[Tex]\begin{bmatrix}71\\4-3\end{bmatrix}[/Tex]Solutio ...read more

Class 12 RD Sharma Solutions - Chapter 7 Adjoint and Inverse of a Matrix - Exercise 7.1 | Set 3

Last Updated: 28 March 2021

Question 25. Show that the matrix A =[Tex]\begin{bmatrix}10-2\\-2-12\\341\end{bmatrix}[/Tex]satisfies the equation A3 - A2 - 3A - I3 = 0. Hence, find A-1.Solution:Here, A ...read more

Class 12 RD Sharma Solutions - Chapter 7 Adjoint and Inverse of a Matrix - Exercise 7.1 | Set 1

Last Updated: 28 March 2021

Question 1. Find the adjoint of the following matrices:Verify that (adj A)A = |A|I = A(adj A) for the above matrices:(i)[Tex]\begin{bmatrix}-35\\24\end{bmatrix}[/Tex]Solut ...read more

Class 12 RD Sharma Solutions - Chapter 11 Differentiation - Exercise 11.6

Last Updated: 11 February 2021

Question 1. If[Tex]y=\sqrt{x+\sqrt{x+\sqrt{x+....to\ \infin}}}[/Tex], prove that[Tex]\frac{dy}{dx}=\frac{1}{2y-1}[/Tex]Solution:We have,[Tex]y=\sqrt{x+\sqrt{x+\sqrt{x+.... ...read more

Class 12 RD Sharma Solutions - Chapter 2 Functions - Exercise 2.2

Last Updated: 02 February 2021

Question 1(i). Find g o f and f o g when f: R - R and g: R - R is defined by f(x) = 2x + 3 and g(x) = x2 + 5Solution:f: R - R and g: R - RTherefore, f o g: R - R and g o f ...read more

Technical Scripter 2020

RD Sharma Solutions

RD Sharma Class-12

Class 12 RD Sharma Solutions - Chapter 2 Functions - Exercise 2.1 | Set 1

Last Updated: 02 February 2021

Question 1. Give an example of a function(i) Which is one-one but not onto.Solution:Let f: R → R given by f(x) = 3x + 2Let us check one-one condition on f(x) = 3x + 2Injec ...read more

Class 12 RD Sharma Solutions - Chapter 1 Relations - Exercise 1.2 | Set 1

Last Updated: 09 November 2022

Question 1. Show that the relation R = {(a,b): a-b is divisible by 3;, a, b ∈ Z} is an equivalence relation.Solution:According to question, relation R = {(a,b): a-b is div ...read more

Technical Scripter 2020

RD Sharma Solutions

RD Sharma Class-12

Class 12 RD Sharma Solutions - Chapter 1 Relations - Exercise 1.1 | Set 2

Last Updated: 13 January 2021

Question 11. Is it true every relation which is symmetric and transitive is also reflexive? Give reasons.Solution:We will verify this by taking an example.Consider a set A ...read more

Technical Scripter 2020

RD Sharma Solutions

RD Sharma Class-12

Class 12 RD Sharma Solutions - Chapter 1 Relations - Exercise 1.1 | Set 1

Last Updated: 02 December 2022

Question 1. Let A be the set of all human beings in a town at a particular time. Determine whether each of the following relations are reflexive, symmetric and transitive: ...read more

Technical Scripter 2020

RD Sharma Solutions

RD Sharma Class-12

Class 12 RD Sharma Solutions - Chapter 3 Binary Operations - Exercise 3.4

Last Updated: 05 October 2021

Question 1. Let * be a binary operation on Z defined by a * b = a + b – 4 for all a, b ∈ Z.(i) Show that * is both commutative and associative.(ii) Find the identity eleme ...read more

Technical Scripter 2020

1 2 3 4 5 6 7 8 >>

1 2 3 4 5 6 >>

1 2 3 4 >>