NCERT Solutions for Class 11 Maths Chapter 16 Miscellaneous Exercises

CBSE CLASS XII Related Questions

  • 1.
    Evaluate : \[ I = \int_0^{\frac{\pi}{4}} \frac{dx}{\cos^3 x \sqrt{2 \sin 2x}} \]


      • 2.
        Evaluate: \[ \int_0^{\frac{\pi}{2}} \frac{5 \sin x + 3 \cos x}{\sin x + \cos x} \, dx \]


          • 3.
            If $M$ and $N$ are square matrices of order 3 such that $\det(M) = m$ and $MN = mI$, then $\det(N)$ is equal to :

              • $-1$
              • 1
              • $-m^2$
              • $m^2$

            • 4.
              If \[ \begin{bmatrix} 4 + x & x - 1 \\ -2 & 3 \end{bmatrix} \] is a singular matrix, then the value of \( x \) is:

                • 0
                • 1
                • -2
                • -4

              • 5.
                If \( \mathbf{a} \) and \( \mathbf{b} \) are position vectors of two points \( P \) and \( Q \) respectively, then find the position vector of a point \( R \) in \( QP \) produced such that \[ QR = \frac{3}{2} QP. \]


                  • 6.
                    Find the probability distribution of the number of boys in families having three children, assuming equal probability for a boy and a girl.

                      CBSE CLASS XII Previous Year Papers

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