NCERT Solutions for Class 11 Maths Chapter 11 Exercise 11.3

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Class 11 Maths NCERT Solutions Chapter 11 Conic Sections Exercise 11.3 is based on the following topics:

  • Relationship between semi-major axis, semi-minor axis and the distance of the focus from the centre of the ellipse
  • Special cases of an ellipse
  • Eccentricity
  • Standard equations of an ellipse
  • Latus rectum

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CBSE CLASS XII Related Questions

  • 1.
    Find : \[ \int \frac{2x+1}{\sqrt{x^2+6x}}\,dx \]


      • 2.

        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. 


          • 3.

            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 \(x=3\). 
             


              • 4.
                Find the general solution of the differential equation \[ y\log y\,\frac{dx}{dy}+x=\frac{2}{y}. \]


                  • 5.
                    Find the sub–interval of \((0,\pi)\) in which the function \[ f(x)=\tan^{-1}(\sin x-\cos x) \] is increasing and decreasing.


                      • 6.
                        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:
                        \[ x - y = 3,\quad 2x + 3y + 4z = 13,\quad y + 2z = 7 \]

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