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

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

    • 2.

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

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

      • 3.
        If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


          • 4.
            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.

            • 5.
              Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


                • 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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