NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.3

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NCERT Solutions for Class 12 Maths Chapter 4 Determinants Exercise 4.3 is given in this article. Chapter 4 Exercise 4.2 includes questions on calculating the area of a triangle using determinants when the coordinates of 3 vertices have been given and the points are converted into the form of determinants.

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Class 12 Chapter 4 Determinants Topics:

Inverse Laplace Transform	Determinants and Matrices	Applications of determinants and matrices
Properties of Determinants	Minors and Cofactors	Difference between rows and columns
Elementary Matrix Operations	Non-singular matrix	Consistent and inconsistent system of equations
Consistent System of Linear Equations	Determinant Formula	Jacobian Method

CBSE Class 12 Mathematics Study Guides:

Math MCQs	Math Study Notes	Math Formula
Calculus	Arithmetic	NCERT Solutions for Class 12 Maths
Mensuration	Trigonometry	Difference between in Maths

CBSE CLASS XII Related Questions

1.
For two vectors \(\vec{a}\) and \(\vec{b}\):

Assertion (A): \[ |\vec{a}\times\vec{b}|^2+(\vec{a}\cdot\vec{b})^2 = |\vec{a}|^2|\vec{b}|^2 \] Reason (R): \[ |\vec{a}\times\vec{b}| = (\vec{a}\cdot\vec{b})\tan\theta, \quad \theta\neq\frac{\pi}{2}. \]
- Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true, but Reason (R) is false.
- Assertion (A) is false, but Reason (R) is true.
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2.
Check whether the function \[ f(x)= \begin{cases} \dfrac{|x-3|}{2(x-3)}, & x<3,\\[6pt] \dfrac{x-6}{6}, & x\geq 3 \end{cases} \] is continuous at \(x=3\) or not.
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3.
Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]
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4.
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 a sports car racing track is given as: \[ f(x)= \begin{cases} x^4-4x^2+4, & 0\leq x<3,\\ x^2+40, & x\geq 3 \end{cases} \] Based on this information:
5.
Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not.
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6.
Assertion (A) : In an experiment of throwing an unbiased die, the probability of getting a prime number given that number appearing on the die being odd is \( \frac{2}{3} \).
Reason (R) : For any two events \( A \) and \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).
- Both Assertion (A) and Reason (R) are true and the Reason (R) is the correct explanation of the Assertion (A).
- Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
- Assertion (A) is true and Reason (R) is false.
- Assertion (A) is false and Reason (R) is true.
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