NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.6

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NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.6 is given in this article with a detailed explanation. Chapter 4 Determinants Exercise 4.6 covers concepts of applications of determinants and matrices and finding the solution of a given system of linear equations using an inverse of a matrix.

Check out solutions of Class 12 Maths NCERT solutions chapter 4 Determinants Exercise 4.6

Check out other exercise solutions of Class 12 Maths Chapter 4 Determinants

Class 12 Maths Chapter 4 Determinants Topics:

Determinants and Matrices	Elementary Matrix Operations	Difference between rows and columns
Properties of Determinants	Inverse Laplace Transform	Consistent System of Linear Equations
Jacobian Method	Minors and Cofactors	Non-singular matrix

CBSE Class 12 Maths Study Guides:

Math MCQs	Math Study Notes	Math Formula
Algebra	Difference between in Maths	NCERT Solutions for Class 12 Maths
Calculus	Probability and Statistics	Arithmetic
Mensuration	Trigonometry	Geometry

CBSE CLASS XII Related Questions

1.
Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]
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2.
If \[ P = \begin{bmatrix} 1 & -1 & 0 \\ 2 & 3 & 4 \\ 0 & 1 & 2 \end{bmatrix} \quad \text{and} \quad Q = \begin{bmatrix} 2 & 2 & -4 \\ -4 & 2 & -4 \\ 1 & -1 & 5 \end{bmatrix} \] find \( QP \) and hence solve the following system of equations using matrix method:
\[ x - y = 3,\quad 2x + 3y + 4z = 13,\quad y + 2z = 7 \]
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3.
Sports car racing is a form of motorsport which uses sports car prototypes. The competition is held on special tracks designed in various shapes. The equation of one such track is given as

(i) Find \(f'(x)\) for \(0<x>3\).
(ii) Find \(f'(4)\).
(iii)(a) Test for continuity of \(f(x)\) at \(x=3\).
OR
(iii)(b) Test for differentiability of \(f(x)\) at \(x=3\).
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4.
Find the domain of \(p(x)=\sin^{-1}(1-2x^2)\). Hence, find the value of \(x\) for which \(p(x)=\frac{\pi}{6}\). Also, write the range of \(2p(x)+\frac{\pi}{2}\).
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5.
A line passing through the points \(A(1,2,3)\) and \(B(6,8,11)\) intersects the line \[ \vec r = 4\hat i + \hat j + \lambda(6\hat i + 2\hat j + \hat k) \] Find the coordinates of the point of intersection. Hence write the equation of a line passing through the point of intersection and perpendicular to both the lines.
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6.
Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).
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