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Conic Section Test - 28

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Conic Section Test - 28
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  • Question 1
    4 / -1
    A line L passing thro’ the focus of the parabola y2 = 4(x – 1) intersects the parabola in two distinct points. If ‘m’ be the slope of the line L, then
    Solution

  • Question 2
    4 / -1
    The length of a focal chord of the parabola y2 = 4ax at a distance b from the vertex is C. Then
    Solution

  • Question 3
    4 / -1

    Solution

  • Question 4
    4 / -1
    The number of points with integral co – ordinates that lie in the interior of the region common to the circle x2 + y2 = 16 and the parabola y2 = 4x is
    Solution

  • Question 5
    4 / -1
    The number of distinct normals that can be drawn from (–2, 1) to the parabola y2 – 4x – 2y – 3 = 0 is
    Solution

  • Question 6
    4 / -1
    If two of the three feet of normals drawn from a point to the parabola y2 = 4x be (1, 2) and (1, –2), then the third foot is
    Solution

  • Question 7
    4 / -1
    The A.M. of the ordinates of the feet of the normals from (3, 5) to the parabola y2 = 8x is
    Solution

  • Question 8
    4 / -1
    The circle x2 + y2 + 2λx = 0, λ ∈ R, touches the parabola y2 = 4x externally. Then
    Solution

  • Question 9
    4 / -1
    If the vertex and the focus of the parabola are (–1,1) and (2,3) respectively, then the equation of the directrix is
    Solution

  • Question 10
    4 / -1
    The point (a, 2a) is an interior point of the region bounded by the parabola y2 = 16x and the double ordinate thro’ the focus. Then
    Solution

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