The equation of a circle is

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

The equation of a circle

C_1

x^2 + y^2 = 4

. The locus of the intersection of orthogonal tangents to the circle is the curve

C_2

and the locus of the intersection of perpendicular tangents to the curve

C_2

is the curve

C_3

. Then, (1)

C_3

is a circle (2) the area enclosed by the curve

C_3

8\pi

(3)

C_2

and

C_3

are circles with the same centre (4) None of the above