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A circle is drawn to pass through the extremities of the latus rectum of the parabola `y^2=8xdot` It is given that this circle also touches the directrix of the parabola. Find the radius of this circle.

A

`2sqrt(2)`

B

4

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
B

Latus rectum is focal chord and every circle on a focal chord as its diameter touches the directx.
Therefore radius = `(8)/(2)=4`
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