NCERT Solutions for Class 12 Maths Chapter 3 Matrices Miscellaneous Exercise

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Content Strategy Manager

Class 12 Maths NCERT Solutions Chapter 3 Matrices Miscellaneous Exercise Solutions is provided in this article. Chapter 3 Miscellaneous Exercise deals with the order of matrix, operations on matrices, types of matrices, and invertible matrices.

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Check out the answers for Class 12 Maths NCERT solutions chapter 3 Matrices Miscellaneous Exercise Solutions:

Check out other exercise solutions of Class 12 Maths Chapter 3 Matrices

Class 12 Chapter 3 Matrices Topics:

Types of matrices	Upper Triangular Matrix	Matrix Multiplication
Singular Matrix	Scalar Matrix Formula	Identity Matrix
Column Matrix	Orthogonal Matrix	Symmetric and Skew-symmetric matrices

CBSE Class 12 Mathematics Study Guides:

Math Formula	Math MCQs	NCERT Solutions for Class 12 Maths
Math Study Material	Geometry	Difference between in Maths
Arithmetic	Algebra	Calculus

CBSE CLASS XII Related Questions

1.
An amount of ₹ 10,000 is put into three investments at the rate of 10%, 12% and 15% per annum. The combined annual income of all three investments is ₹ 1,310, however, the combined annual income of the first and second investments is ₹ 190 short of the income from the third. Use matrix method and find the investment amount in each at the beginning of the year.
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2.
Find : \[ I = \int \frac{x + \sin x}{1 + \cos x} \, dx \]
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3.
If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]
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4.
Three students run on a racing track such that their speeds add up to 6 km/h. However, double the speed of the third runner added to the speed of the first results in 7 km/h. If thrice the speed of the first runner is added to the original speeds of the other two, the result is 12 km/h. Using the matrix method, find the original speed of each runner.
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5.
The probability that a student buys a colouring book is 0.7, and a box of colours is 0.2. The probability that she buys a colouring book, given that she buys a box of colours, is 0.3. Find:
(i) The probability that she buys both the colouring book and the box of colours.
(ii) The probability that she buys a box of colours given she buys the colouring book.
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6.
Find: \[ I = \int (\sqrt{\tan x} + \sqrt{\cot x}) dx. \]
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