NCERT Solutions for Class 11 Maths Chapter 12 Exercise 12.2

Collegedunia Team logo

Collegedunia Team

Content Curator

CBSE CLASS XII Related Questions

  • 1.

    The probability of hitting the target by a trained sniper is three times the probability of not hitting the target on a stormy day due to high wind speed. The sniper fired two shots on the target on a stormy day when wind speed was very high. Find the probability that 
    (i) target is hit. 
    (ii) at least one shot misses the target. 


      • 2.
        Evaluate : \[ \int_{-\frac{\pi}{6}}^{\frac{\pi}{3}}(\sin|x|+\cos|x|)\,dx \]


          • 3.

            A rectangle of perimeter \(24\) cm is revolved along one of its sides to sweep out a cylinder of maximum volume. Find the dimensions of the rectangle. 


              • 4.

                Sports car racing is a form of motorsport which uses sports car prototypes. The competition is held on special tracks designed in various shapes. The equation of one such track is given as 

                (i) Find \(f'(x)\) for \(0<x>3\). 
                (ii) Find \(f'(4)\). 
                (iii)(a) Test for continuity of \(f(x)\) at \(x=3\). 
                OR 
                (iii)(b) Test for differentiability of \(f(x)\) at \(x=3\). 
                 


                  • 5.
                    If \[ P = \begin{bmatrix} 1 & -1 & 0 \\ 2 & 3 & 4 \\ 0 & 1 & 2 \end{bmatrix} \quad \text{and} \quad Q = \begin{bmatrix} 2 & 2 & -4 \\ -4 & 2 & -4 \\ 1 & -1 & 5 \end{bmatrix} \] find \( QP \) and hence solve the following system of equations using matrix method:
                    \[ x - y = 3,\quad 2x + 3y + 4z = 13,\quad y + 2z = 7 \]


                      • 6.
                        Mother, Father and Son line up at random for a family picture. Let events \(E\): Son on one end and \(F\): Father in the middle. Find \(P(E/F)\).

                          CBSE CLASS XII Previous Year Papers

                          Comments


                          No Comments To Show