NCERT Solutions for Differential Equations Exercise 9.4 Solutions

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.4 is provided in the article. Class 12 Chapter 9 Differential Equations Exercises provided in the chapter are based on solving first order, first-degree differential equations with variables separable. 

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Read More: NCERT Solutions For Class 12 Mathematics Chapter 9 Differential Equations

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CBSE CLASS XII Related Questions

  • 1.

    Check whether \[ f:\mathbb{R}-\{3\}\rightarrow\mathbb{R} \] defined as \[ f(x)=\frac{x-2}{x-3} \] is onto or not. 


      • 2.
        For a square matrix \(A\), \[ (3A)^{-1}= \]

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

        • 3.
          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

          • 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.

              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 \[ 3q(x)-\pi. \] 


                • 6.

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

                    • \([-1, 1]\)
                    • \([4, 6]\)
                    • \([-7, -3]\)
                    • \([2, 3]\)
                  CBSE CLASS XII Previous Year Papers

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