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Mathematics
Problem
Two perpendicular tangents to the circle
x
2
+
y
2
=
a
2
x^2 + y^2 = a^2
x
2
+
y
2
=
a
2
meet at P. Then the locus of P has the equation- (1)
x
2
+
y
2
=
2
a
2
x^2 + y^2 = 2a^2
x
2
+
y
2
=
2
a
2
(2)
x
2
+
y
2
=
3
a
2
x^2 + y^2 = 3a^2
x
2
+
y
2
=
3
a
2
(3)
x
2
=
y
2
=
4
a
2
x^2 = y^2 = 4a^2
x
2
=
y
2
=
4
a
2
(4) None of these
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