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Consider the following lines : L(1) : ...

Consider the following lines :
`L_(1) : x-y-1=0`
`L_(2):x+y-5=0`
`L_(3):y-4=0`
Let `L_(1)` is axis to a parabola, `L_(2)` is tangent at the vertex to this parabola and `L_(3)` is another tangent to this parabola at some point P.
Let 'C' be the circle circumscribing the triangle formed by tangent and normal at point P and axis of parabola. The tangent and normals at normals at the extremities of latus rectum of this parabola forms a quadrilateral ABCD.
Q. The equation of the circle 'C' is :

A

`x^(2)+y^(2)-2x-31=0`

B

`x^(2)+y^(2)-2y-31=0`

C

`x^(2)+y^(2)-2x-2y-31=0`

D

`x^(2)+y^(2)+2x+2y=31`

Text Solution

Verified by Experts

The correct Answer is:
A
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