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.

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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.
Evaluate : \[ \int_{\frac{1}{12}}^{\frac{5}{12}} \frac{dx}{1+\sqrt{\cot x}} \]
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3.
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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4.
Smoking increases the risk of lung problems. A study revealed that 170 in 1000 males who smoke develop lung complications, while 120 out of 1000 females who smoke develop lung related problems. In a colony, 50 people were found to be smokers of which 30 are males. A person is selected at random from these 50 people and tested for lung related problems. Based on the given information answer the following questions:

(i) What is the probability that selected person is a female?
(ii) If a male person is selected, what is the probability that he will not be suffering from lung problems?
(iii)(a) A person selected at random is detected with lung complications. Find the probability that selected person is a female.
OR
(iii)(b) A person selected at random is not having lung problems. Find the probability that the person is a male.
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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.
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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