Multiple Choice Questions on If the line x ndash y ndash 1 0 intersects the parabola y2 8x at P amp Q then find the point o........... for NDA Exam Preparation

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Multiple Choice Questions

If the line x ndash y ndash 1 0 intersects the parabola y2 8x at P amp Q then find the point o...........

Mathematics (NDA) Coordinate Geometry
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     If the line x – y – 1 = 0 intersects the parabola y2 = 8x at P & Q, then find the point of intersection of tangents at P & Q?

    (2,-4)

    Incorrect Answer

    (-2,4)

    Correct Answer

    (0,-3)

    Incorrect Answer

    (1,-3)

    Incorrect Answer
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    Explanation:

    Line   x – y – 2= 0

    Let (h, k) be point of intersection of tangents then chord of contact is

     yk = 4(x + h)

    4x – yk + 4h = 0 ....... (i)

    Comparing line

    4/1  =-k/-1   =4h/-2

    h=-2

    k=4

    By: bhavesh kumar singh
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