RD Sharma Class-12

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Class 12 RD Sharma Solutions - Chapter 21 Areas of Bounded Regions - Exercise 21.3

Last Updated: 23 July 2025

In this article, we will delve into the solutions for Exercise 21.3 from Chapter 21: Areas of Bounded Regions of the RD Sharma textbook for Class 12. This chapter is cruci...read more

Class 12 RD Sharma Solutions - Chapter 15 Mean Value Theorems - Exercise 15.1

Last Updated: 23 July 2025

In Class 12 mathematics, the concept of Mean Value Theorems plays a crucial role in understanding the behavior of functions and their derivatives. This chapter explores va...read more

Class 12 RD Sharma Solutions - Chapter 9 Continuity - Exercise 9.2 | Set 1

Last Updated: 23 August 2024

Question 1. Prove that the functionf(x)=\begin{cases}\frac{sinx}{x} \ \ \ \ ,x≤0\\x+1\ \ \ ,x≤0\end{cases}is continuous everywhere.Solution:We know sin x/ x is continuous ...read more

Class 12 RD Sharma Solutions - Chapter 9 Continuity - Exercise 9.2 | Set 2

Last Updated: 23 August 2024

Question 8. Iff\left( x \right) = \frac{\tan\left( \frac{\pi}{4} - x \right)}{\cot 2x}for x ≠ π/4, find the value which can be assigned to f(x) at x = π/4 so that the func...read more

Class 12 RD Sharma Solutions - Chapter 33 Binomial Distribution - Exercise 33.1 | Set 3

Last Updated: 23 July 2025

In Class 12 mathematics, the Binomial Distribution is a fundamental concept in probability theory and statistics. It describes the probability of achieving a fixed number ...read more

Class 12 RD Sharma Solutions - Chapter 33 Binomial Distribution - Exercise 33.1 | Set 2

Last Updated: 26 August 2024

Question 19. A bag contains 7 green, 4 white, and 5 red balls. If four balls are drawn one by one with replacement, what is the probability that one is red?Solution:Let us...read more

Class 12 RD Sharma Solutions - Chapter 6 Determinants Exercise Ex. 6.6 | Set 3

Last Updated: 21 July 2021

Question 38. Write the value of the determinant\begin{vmatrix}2 3 4 \\ 5 6 8 \\ 6x 9x 12x\end{vmatrix}.Solution:We have,A =\begin{bmatrix}2 3 4 \\ 5 6 8 \\ 6x 9...read more

Class 12 RD Sharma Solutions - Chapter 33 Binomial Distribution - Exercise 33.1 | Set 1

Last Updated: 23 July 2025

The Binomial Distribution is a fundamental concept in probability theory and statistics particularly useful in scenarios involving discrete outcomes. It provides a way to ...read more

Class 12 RD Sharma Solutions - Chapter 6 Determinants Exercise Ex. 6.6 | Set 2

Last Updated: 23 July 2025

The Determinants are a fundamental concept in algebra and matrix theory widely used in solving systems of linear equations finding matrix inverses and analyzing the proper...read more

Class 12 RD Sharma Solutions - Chapter 6 Determinants Exercise Ex. 6.6 | Set 1

Last Updated: 23 July 2025

Determinants are a fundamental concept in linear algebra crucial for solving systems of linear equations finding the area of the geometric figures and more. In Class 12 ma...read more

Class 12 RD Sharma Solutions - Chapter 28 The Straight Line in Space - Exercise 28.3

Last Updated: 23 July 2025

In Class 12 Mathematics, Chapter 28, "The Straight Line in Space" deals with the concepts of the straight lines in three-dimensional space. This chapter builds upon the un...read more

Class 12 RD Sharma Solutions - Chapter 31 Probability - Exercise 31.7 | Set 3

Last Updated: 23 July 2025

Probability is a branch of mathematics that deals with the likelihood or chance of different outcomes occurring in an experiment. It provides a measure of how likely it is...read more

Class 12 RD Sharma Solutions - Chapter 31 Probability - Exercise 31.7 | Set 2

Last Updated: 26 August 2024

Question 14. An item is manufactured by three machines A, B, and C. Out of the total number of items manufactured during a specified period, 50% are manufactured on machin...read more

Class 12 RD Sharma Solutions - Chapter 31 Probability - Exercise 31.7 | Set 1

Last Updated: 27 August 2024

Question 1. The contents of urns I, II, and III are as follows:Urn I: 1 white, 2 black, and 3 red ballsUrn II: 2 white, 1 black, and 1 red ballUrn III: 4 white, 5 black, a...read more

Class 12 RD Sharma Solutions - Chapter 28 The Straight Line in Space - Exercise 28.2 | Set 2

Last Updated: 23 July 2025

In Class 12 Mathematics, Chapter 28 focuses on the "Straight Line in Space". This chapter delves into the geometric properties of the lines in three-dimensional space and ...read more

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