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Self Studies

Conic Section T...

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  • Question 1
    4 / -1

    The focus of the point which moves such that the ratio of its distance from two fixed point in the plane is always a constant k (< 1) is

  • Question 2
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    The line passing through the extremity A of the major axis and extremity B of the minor axis of the ellipse x2 + 9y2 = 9 meets its auxiliary circle at the point M. Then the area of the triangle with vertices at A, M and the origin O is

  • Question 3
    4 / -1

    The normal at a point P on the ellipse x2 + 4y2 = 16 meets the x-axis at Q. If M is the mid point of the line segment PQ, then the locus of M intersects the latus rectum of the given ellipse at the points

  • Question 4
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  • Question 5
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  • Question 6
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  • Question 7
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    For an ellipse with eccentricity ½ the centre is at the origin. If one directrix is x = 4, then the equation of the ellipse is

  • Question 8
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    Equation of the ellipse whose foci are (2, 2) and (4, 2) and the major axis is of length 10 is

  • Question 9
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  • Question 10
    4 / -1

    The distance between the foci of an ellipse is 16 and eccentricity is ½. Length of the major axis of the ellipse is

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