Maths-Class-12 Archives - GeeksforGeeks

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Maths-Class-12

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Practice Question on Differentiation Solved and Unsolved (Hard)

Last Updated: 23 July 2025

Differentiation is a fundamental concept in calculus that measures how a function changes as input changes. It is used in various fields, such as physics, engineering, an...read more

School Learning

Representation of Relations and Functions

Last Updated: 23 July 2025

A relation R from set A to set B is a subset of the Cartesian product A × B. That is:R ⊆ A × BHere, A is called the domain, and B is called the co-domain.Each pair (a, b) ...read more

School Learning

Relations and Functions

Grade 12th Math

Last Updated: 25 May 2026

Calculus is the central topic in Grade 12 mathematics, focusing on limits, derivatives, and integration to study change, motion, and accumulation in mathematical and real-...read more

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NCERT Solutions for Class 12 Maths in Hindi

Last Updated: 21 August 2025

NCERT Solutions for Class 12 Maths in Hindi: Mathematics is considered one of the highest-scoring subjects for the Class 12th board exams in the 2024-25 session. According...read more

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School Learning

NCERT Solutions Class-12

Class 12 NCERT Solutions- Mathematics Part ii – Chapter 10 – Vector Algebra Exercise 10.3

Last Updated: 23 July 2025

This article contains , solution for Exercise 10.3 of Chapter 10 – Vector Algebra from Class 12 NCERT - Mathematics .Exercise 10.3 covers the basics of vectors like angle ...read more

School Learning

NCERT Solutions Class-12

NCERT Solutions For Class 12 Maths Part ii – Chapter 7– Integrals Miscellaneous Exercise

Last Updated: 23 July 2025

Integration is the inverse process of differentiation. In differential calculus, we are given a function, and we have to find the derivative or differential of this functi...read more

NCERT Solutions Class-12

Intermediate Value Theorem

Last Updated: 11 May 2026

The Intermediate Value Theorem (IVT) applies to continuous functions on a closed interval. It guarantees that the function attains every value between f(a) and f(b).Statem...read more

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School Learning

Difference between Codomain and Range

Last Updated: 23 July 2025

Codomain is the set that contains all possible values that the function can output, Range of a function, on the other hand, is the set of all output values that are actual...read more

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School Learning

Relations and Functions

Maths-Difference-Between

Class 12 NCERT Solutions – Mathematics Part ii – Chapter 11 – Three Dimensional Geometry – Miscellaneous Exercise

Last Updated: 23 July 2025

1. Find the angle between the lines whose direction ratios are a, b, c and b – c, c – a, a – b.Solution:The angle θ between the lines with direction cosines a, b, c and b ...read more

School Learning

NCERT Solutions Class-12

Class 12 NCERT Solutions- Mathematics Part ii – Chapter 9– Differential Equations Exercise 9.5

Last Updated: 23 July 2025

In the article, we will solve Exercise 9.5 from Chapter 9, “Differential Equations” in the NCERT. Exercise 9.5 covers Homogeneous differential equations.Basic Concept to S...read more

School Learning

NCERT Solutions Class-12

Practice Questions on Subtraction of Matrices

Last Updated: 23 July 2025

Subtraction of Matrices is one of the operations that are performed between two matrices. It is similar to addition of matrices. This article provides practice questions o...read more

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Matrix and Determinant

Practice Questions

Class 12 NCERT Solutions- Mathematics Part ii – Chapter 7– Integrals Exercise 7.9

Last Updated: 17 May 2024

Solutions for NCERT Class 12 Maths Chapter 7 Exercise 7.9 (Integrals) are given in the article today and the main formula used while solving this exercise is shown below:...read more

School Learning

Class 12 NCERT Solutions- Mathematics Part ii – Chapter 10 – Vector Algebra Miscellaneous Exercise on Chapter 10

Last Updated: 23 July 2025

In the article, we will solve Miscellaneous Exercise from Chapter 10, “Vector Algebra” in the NCERT. This exercise covers the basics of vectors like scalar and vector comp...read more

School Learning

NCERT Solutions Class-12

Class 12 NCERT Solutions- Mathematics Part ii – Chapter 7– Integrals Exercise 7.2

Last Updated: 23 July 2025

In this exercise, we delve into the concept of integrals which is one of the fundamental aspects of calculus. The Integrals are used extensively in various fields such as ...read more

School Learning

NCERT Solutions Class-12

Class 12 NCERT Solutions- Mathematics Part ii – Chapter 7– Integrals Exercise 7.8

Last Updated: 23 July 2025

NCERT solutions Class 12 math's Chapter 7 Exercise 7.8 consists of 6 questions that impart a clear understanding of the definite integrals, their intervals, and limits. Le...read more

School Learning

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