NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.2 Solutions 

CBSE CLASS XII Related Questions

  • 1.
    Find the foot of the perpendicular drawn from point $(2, -1, 5)$ to the line \[ \frac{x - 11}{10} = \frac{y + 2}{-4} = \frac{z + 8}{-11} \] Also, find the length of the perpendicular.


      • 2.
        Let $|\vec{a}| = 5 \text{ and } -2 \leq \lambda \leq 1$. Then, the range of $|\lambda \vec{a}|$ is:

          • [5, 10]
          • [-2, 5]
          • [-1, 5]
          • [10, 5]

        • 3.
          Find the absolute maximum and absolute minimum of the function \( f(x) = 2x^3 - 15x^2 + 36x + 1 \) on \( [1, 5] \).


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


                • 5.
                  If \( x = a \left( \cos \theta + \log \tan \frac{\theta}{2} \right) \) and \( y = \sin \theta \), then find \( \frac{d^2y}{dx^2} \) at \( \theta = \frac{\pi}{4} \).


                    • 6.
                      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
                      CBSE CLASS XII Previous Year Papers

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