NCERT Solutions for Differential Equations Exercise 9.6 Solutions

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Class 12 Maths NCERT Solutions Chapter 9 Differential Equations Exercise 9.6 is provided in the article. Class 12 Chapter 9 Differential Equations Exercises are based on solving the linear differential equations.

Download PDF: NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.6

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

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CBSE CLASS XII Related Questions

  • 1.
    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

    • 2.

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


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

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

          • 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.


              • 5.
                For a square matrix \(A\), \[ (3A)^{-1}= \]

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

                • 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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