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Tangent drawn from the point (a ,3) to t...

Tangent drawn from the point `(a ,3)` to the circle `2x^2+2y^2-25` will be perpendicular to each other if `alpha` equals 5 (b) `-4` (c) 4 (d) `-5`

A

5

B

`-4`

C

4

D

`-5`

Text Solution

Verified by Experts

The correct Answer is:
2,3
The equation of the director circle is `x^(2)+y^(2)=25` . The point `(alpha,3)` must lie on this circle. So,
`alpha^(2)+9=25` or `alpha^(2)= 16` or `alpha = +-4`
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