Question

An ellipse is drawn by taking a diameter of the circle (x – 1)² + y² = 1 as its semi-minor axis and a diameter of the circle x² + (y – 2)² = 4 as its semimajor axis. If the centre of the ellipse is at the origin and its axes are the coordinate axes, then the equation of the ellipse is

(a) 4x² + y² = 8 

(b) x² + 4y² = 16

(c) 4x² + y² = 4 

(d) x² + 4y² = 8

Answer 1

(b) : (x – 1)² + y² = 1, r = 1 ⇒ a = 2 and x² + (y – 2)² = 4, r = 2 ⇒ b = 4