The circle and hyperbola intersect at the points A and B

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

Problem

The circle

x^2 + y^2 - 8x = 0

and hyperbola

\frac{x^2}{9} - \frac{y^2}{4} = 1

intersect at the points A and B. Equation of the circle with AB as its diameter is (1)

x^2 + y^2 - 12x + 24 = 0

(2)

x^2 + y^2 + 12x + 24 = 0

(3)

x^2 + y^2 + 24x - 12 = 0

(4)

x^2 + y^2 - 24x - 12 = 0