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Analytical Geometry

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8 Mar 2010 23:16:45 IST

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If a tangent to the parabola Y^2=4ax meets the axis in T and tangent at the vertex A in Y and the re

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If a tangent to the parabola Y^2=4ax meets the axis in T and tangent at the vertex A in Y and the rectangle TAYG is completed.Then the locus of G isa.y^2+2ax=0b.y^2+ax=0c. x^2+ay=0d. None

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Deepak Aggarwal

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10 Mar 2010 16:45:58 IST

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The locus of G is y² + ax= 0.

So, the answer is (c).

Nehal Wani

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Joined: 19 Jul 2009

Posts: 166

18 Mar 2010 16:47:31 IST

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let the equation of the tangent be y=mx+a/m

By putting y=0 and x-=0,

the point T is (-a/m^2,0)

and the point Y is (0,a/m)

Since TAYG is a rectangle, the coordinates of G are (-a/m^2,a/m)

[x distances and y distances]

By comparing with the options, C choice is best satisfied by the point G!

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