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A point on the line x=3 from which the t...

A point on the line `x=3` from which the tangents drawn to the circle `x^2+y^2=8` are at right angles is

A

`(2,2sqrt(7))`

B

`(2,2sqrt(5))`

C

`(2,-2sqrt(7))`

D

`(2,-2sqrt(5))`

Text Solution

Verified by Experts

The correct Answer is:
1,3
The point from which the tangents drawn are at right angle lies on the director circle.
Equation of director circle is `x^(2)+y^(2)=2 x 16 =32`.
Putting `x=2` ,we get
`y^(2)=28`
or `y= +- 2sqrt(7)`
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