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Important Questions Class 10 Maths Chapter 4: Quadratic Equations

Last Updated: 23 July 2025

Chapter 4 of Class 10 Mathematics deals with Quadratic Equations, a fundamental topic in algebra. It introduces students to equations of the form ax2 + bx + c = 0, where '...read more

School Learning

Important Questions Class 10 Maths Chapter 1: Real Numbers

Last Updated: 23 July 2025

Real Numbers is a critical chapter that sets the stage for many mathematical concepts explored in higher classes. This chapter revisits the concepts of number systems, inc...read more

School Learning

Important Questions Class 10 Maths Chapter 8: Introduction to Trigonometry

Last Updated: 23 July 2025

Trigonometry might sound like a complex topic, but with the right guidance and practice, it becomes much more approachable. In Class 10 Maths, Chapter 8 introduces the bas...read more

School Learning

CBSE - Class 10

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

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

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 Mathematics Solutions - Chapter 7- Integrals - Exercise 7.3

Last Updated: 23 July 2025

Chapter 7 of the Class 12 NCERT Mathematics Part II textbook, titled "Integrals," covers the fundamental concepts of integral calculus. This chapter introduces techniques ...read more

School Learning

NCERT Solutions Class-12

NCERT Solutions Class 8 - Chapter 11 Direct and Inverse Proportions - Exercise 11.2

Last Updated: 23 July 2025

Chapter 11 of the NCERT Class 8 Mathematics textbook, titled "Direct and Inverse Proportions," provides deeper into the fundamental concepts of proportionality. Building u...read more

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School Learning

NCERT Solutions Class-8

NCERT Solutions Class 12- Mathematics Part I - Chapter 6 Application of Derivatives - Miscellaneous Exercise on Chapter 6

Last Updated: 23 July 2025

The application of derivatives is a fundamental topic in Class 12 Mathematics serving as a bridge between the algebraic functions and their practical applications. Chapter...read more

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School Learning

NCERT Solutions Class-12

NCERT Solutions Class 12- Mathematics Part I - Chapter 4 Determinants - Miscellaneous Exercises on Chapter 4

Last Updated: 01 May 2024

Question 1. Prove that the determinant\begin{vmatrix} x sin\theta cos\theta \\ -sin\theta -x 1\\ cos\theta 1 x \end{vmatrix}is independent of θ.Solution:A =\begin{vm...read more

School Learning

NCERT Solutions Class-12

NCERT Solutions Class 12- Mathematics Part I - Chapter 4 Determinants - Exercise 4.5

Last Updated: 01 May 2024

Examine the consistency of the system of equations in Exercises 1 to 6.Question 1. x + 2y = 2 2x + 3y = 3Solution:Matrix form of the given equations is AX = B...read more

School Learning

NCERT Solutions Class-12

NCERT Solutions Class 12 - Mathematics Part I - Chapter 4 Determinants - Exercise 4.4

Last Updated: 01 May 2024

Find adjoint of each of the matrices in Exercises 1 and 2.Question 1.\begin{bmatrix} 1 2 \\ 3 4 \end{bmatrix}Solution:A =\begin{bmatrix} 1 2 \\ 3 4 \end{bmatrix}A11 = 4;...read more

School Learning

NCERT Solutions Class-12

NCERT Solutions Class 12- Mathematics Part I - Chapter 4 Determinants - Exercise 4.3

Last Updated: 23 July 2025

Write minors and cofactors of the elements of the following determinants:Question 1.(i)\begin{vmatrix}3-4\\03\end{vmatrix}(ii)\begin{vmatrix}ac\\bd\end{vmatrix}Solution:(i...read more

School Learning

NCERT Solutions Class-12

NCERT Solutions Class 12 - Mathematics Part I - Chapter 3 Matrices - Miscellaneous Exercise on Chapter 3

Last Updated: 01 May 2024

Question 1. If A and B are symmetric matrices, prove that AB – BA is a skew-symmetric matrix.Solution:As, it is mentioned that A and B are symmetric matrices,A' = A and B'...read more

School Learning

NCERT Solutions Class-12

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