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 the inverse of each of the matrices,if it exists. \(\begin{bmatrix} 2 &  3\\ 5 & 7 \end{bmatrix}\)

      2.

       If \(\frac{d}{dx}f(x) = 4x^3-\frac{3}{x^4}\) such that \(f(2)=0\), then \(f(x)\) is

        • \(x^4+\frac{1}{x^3}-\frac{129}{8}\)

        • \(x^3+\frac{1}{x^4}+\frac{129}{8}\)

        • \(x^4+\frac{1}{x^3}+\frac{129}{8}\)

        • \(x^3+\frac{1}{x^4}-\frac{129}{8}\)

        3.
        If (i) A=\(\begin{bmatrix} \cos\alpha & \sin\alpha\\ -\sin\alpha & \cos\alpha \end{bmatrix}\),then verify that A'A=I
        (ii) A= \(\begin{bmatrix} \sin\alpha & \cos\alpha\\ -\cos \alpha & \sin\alpha \end{bmatrix}\),then verify that A'A=I

            4.

            Let A=\(\begin{bmatrix} 0 & 1 \\ 0 & 0 \end{bmatrix}\),show that(aI+bA)n=anI+nan-1bA,where I is the identity matrix of order 2 and n∈N

                5.
                Let f: R→R be defined as f(x) = 3x. Choose the correct answer.

                  • f is one-one onto
                  • f is many-one onto
                  • f is one-one but not onto
                  • f is neither one-one nor onto

                  6.
                  Find the vector and the cartesian equations of the lines that pass through the origin and(5,-2,3).

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