NCERT Solutions for Class 12 Chapter 9 Differential Equations Exercise 9.5 Solutions

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.5 is provided in the article. Class 12 Chapter 9 Differential Equations Exercises provided in the chapter are based on Homogeneous Differential Equations.

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CBSE CLASS XII Related Questions

  • 1.
    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.

    • 2.
      The least value of \[ f(x)=e^{-x} \] in the interval \[ [0,3] \] is:

        • \( e^{-3} \)
        • \( -1 \)
        • \( 1 \)
        • \( -e^3 \)

      • 3.
        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.


          • 4.

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

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

            • 5.
              For \[ f(x)=x+\frac{1}{x}, \quad x\neq 0. \]

                • local maximum value is 2
                • local minimum value is \( -2 \)
                • local maximum value is \( -2 \)
                • local minimum value \( < \) local maximum value

              • 6.

                Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 

                  CBSE CLASS XII Previous Year Papers

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