If the curves and for a suitable value of cut on four concyclic points

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

Problem

If the curves

\frac{x^2}{4} + y^2 = 1

and

\frac{x^2}{a^2} + y^2 = 1

for a suitable value of

a

cut on four concyclic points, the equation of the circle passing through these four points is (1)

x^2 + y^2 = 8

(2)

x^2 + y^2 = 4

(3)

x^2 + y^2 = 2

(4)

x^2 + y^2 = 1