First slide

Definition of a circle

Question

Tangents drawn from the point $(α, 3)$ to the circle $2 x^{2} + 2 y^{2} = 25$ will be perpendicular to each other if $α$ equals

Moderate

A

5
B

-4
C

4
D

-5

Solution

The equation of director circle is $x^{2} + y^{2} = 25$ . The point $(α, 3)$ must lie on this circle. So,
$α^{2} + 9 = 25 or α^{2} = 16 or α = \pm 4$

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