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If the chord of contact of tangent from a point P to the parabola y^2 = 4ax touches the parabola x^2 = 4by. The locus of P is

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If the chord of contact of tangent from a point P to the parabola y2 = 4ax touches the parabola x2 = 4by. The locus of P is

a. Parabola

b. Hyperbola

c. ellipse

d. Circle

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1 Answer

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Correct option is b. Hyperbola

Let the point P be (h, k) then equation of chord of contact is ky = 2a(x + h) Now this chord is tangent of parabola x2 = 4by

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