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Parabola Test - 2

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  • Question 1
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    The equation of the parabola to which the line m2(y - 10) – mx – 1 = 0 is a tangent for any real value of m is

    Solution

    Equation of the given line is x = m (y - 10) - 1/m compare with x -h = m (y - k) + a/m, we get
    h = 0, k= 10, and a = -1
    ∴ The equation of parabola is 
    (x - h)2 = 4a(y - k) 
    ⇒ x2 = -4 (y - 10).

     

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