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.

    Solve the differential equation \( y + \frac{d}{dx}(xy) = x(\sin x + \log x) \).


      • 2.

        For events A and B, if \(P(B)=\frac{3}{5}\), \(P(A/B)=\frac{1}{2}\) and \(P(A\cup B)=\frac{4}{5}\), then \(P(A)\) is :

          • \(\frac{1}{2}\)
          • \(\frac{3}{5}\)
          • \(\frac{1}{5}\)
          • \(\frac{3}{10}\)

        • 3.

          Differential of \( \log \sin x \) with respect to \( \sqrt{\cos x} \) is :

            • \( -2\sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
            • \( \sqrt{\cos x}\cdot\cot x\cdot\operatorname{cosec} x \)
            • \( \frac{2\sqrt{\cos x}}{\sin x} \)
            • \( \frac{1}{\sin x\sqrt{\cos x}} \)

          • 4.

            \( \int e^{x}\left( \frac{2+\sin 2x}{1+\cos 2x} \right) dx \) is equal to :

              • \( \log \cos 2x + C \)
              • \( \sec^{2} 2x + C \)
              • \( e^{x}\tan x + C \)
              • \( e^{x}\cot x + C \)

            • 5.

              Find the sum of maximum and minimum values of \(f(x) = \sin x\,(1 + \cos x)\) in the interval \([0, \pi]\).


                • 6.

                  Find the value of \(x\) if \(A = B\), where

                  \[ A = \begin{bmatrix} 6 & 3x \\ 8 & -6 \end{bmatrix} \text{ and } B = \begin{bmatrix} 6 & x^2+2 \\ 8 & x^2-5x \end{bmatrix}. \]

                    CBSE CLASS XII Previous Year Papers

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