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P ,Q , and R are the feet of the normals...

`P ,Q ,` and `R` are the feet of the normals drawn to a parabola `(y-3)^2=8(x-2)` . A circle cuts the above parabola at points `P ,Q ,R ,a n dS` . Then this circle always passes through the point. `(2,3)` (b) `(3,2)` (c) `(0,3)` (d) `(2,0)`

A

(2,3)

B

(3,2)

C

(0,3)

D

(2,0)

Text Solution

Verified by Experts

The correct Answer is:
A
(1) A circle through three co-normal point of a parabola always passes through the vertex of the parabola. Hence, the circle through P,Q,R and S out of which P,Q and R are co-normals points will always pass through vertex (2,3) of the parabola.
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