Question

An ellipse has its centre at (1, - 1) and semi - major axis = 8 and it passes through the point (1, 3). The equation of the ellipse is

 

Answer 1

Correct option is 

 

Given that we need to find the equation of the ellipse whose centre is (1, - 1) and semi - major axis 8 and passes through (1,3).

From the standard equation

Centre = (p, q) = (1, - 1)

a = 8

a² = 64

The equation is

This passes through (1,3). Substituting in the curve, we get,

⇒ b² = 16

The equation of the ellipse is