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The locus of the point from which the le...

The locus of the point from which the lengths of the tangents to the circles `x^2+y^2=4` and `2(x^2+y^2)-10 x+3y-2=0` are equal to (a) a straight line inclined at `pi/4` with the line joining the centers of the circles (b) a circle (c) an ellipse (d)a straight line perpendicular to the line joining the centers of the circles.

A

a straight line inclined at `pi//4` with the line joining the centers of the circles

B

a circle

C

an ellipse

D

a straight line perpendicular to the line joining the centers of the circles

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The correct Answer is:
4
The locus is the radical axis which is perpendicular to the line joining the centers of the circles.
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