A geometry problem by Aditya Lalbondre

Geometry Level pending

If two tangents drawn from a point P to the parabola y 2 y^{2} = 4 x 4x are at right angles , then the locus of P is

x = 1 x=1 2 x + 1 = 0 2x+1=0 x = − 1 x=-1 2 x − 1 = 0 2x-1=0

Aditya Lalbondre by Aditya Lalbondre , 22, India

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1 solution

Aditya Lalbondre
Apr 20, 2015

If two tangents are perpendicular from a point on parabola P, then locus of P is directrix of parabola. Directrix of y 2 = 4 x y^{2} = 4x is x + 1 = 0 x+1=0

So , x = − 1 x=-1

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