An ellipse is drawn by taking a diameter of the circle (x - 1) + y = 1

• Coordinate Geometry

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

1. x² + 4y² = 8
2. 4x² + y² = 4
3. x² + 4y² = 16
4. 4x² + y² = 8

Answer

Semi minor axis b = 2

Semi major axis a = 4

Equation of ellipse = x²/a² + y²/b² = 1

The correct option is D.