NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

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NCERT Solutions for Class 12 Maths Chapter 4 Determinants Miscellaneous Exercise is given in this article with a step by step explanation of concepts. Chapter 4 Determinants Miscellaneous Exercise covers all the concepts of the order of determinants of a matrix, properties of determinants, area of a triangle, adjoint of a matrix, etc.

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Class 12 Maths Chapter 4 Determinants Topics:

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

CBSE Class 12 Maths Study Guides:

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

CBSE CLASS XII Related Questions

1.
Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]

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2.
The domain of \[ f(x)=\cos^{-1}(2x-5) \] is:

\([-1, 1]\)
\([4, 6]\)
\([-7, -3]\)
\([2, 3]\)

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3.
For a square matrix \(A\), \[ (3A)^{-1}= \]

\( 3A^{-1} \)
\( 9A^{-1} \)
\( \frac{1}{3} A^{-1} \)
\( \frac{1}{9} A^{-1} \)

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4.
In a school, the probability of holding a debate competition is \( \frac{1}{3} \) and that of a quiz competition is \( \frac{2}{3} \). In the two participating teams, A has 4 girls and 6 boys and B has 7 girls and 3 boys. If a debate competition is held, the students are selected from team A and for the quiz competition they are selected from team B. If only two students are to be chosen from the teams, then find the probability that one will be a girl and the other a boy.

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5.
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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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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NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

CBSE CLASS XII Related Questions

1.
Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]

2.
The domain of \[ f(x)=\cos^{-1}(2x-5) \] is:

3.
For a square matrix \(A\), \[ (3A)^{-1}= \]

5.
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.

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 \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).

Comments

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NCERT Solutions for Class 12 Maths Chapter 4 Miscellaneous Exercise

CBSE CLASS XII Related Questions

1. Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]

2.The domain of \[ f(x)=\cos^{-1}(2x-5) \] is:

3. For a square matrix \(A\), \[ (3A)^{-1}= \]

5.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.

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 \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]

2.
The domain of \[ f(x)=\cos^{-1}(2x-5) \] is:

3.
For a square matrix \(A\), \[ (3A)^{-1}= \]

5.
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.

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 \( B \), \( P(A|B) = \frac{P(A \cup B)}{P(B)} \).