Question

What is the equation of the ellipse with co-vertices (0, 2), (0, -2) and vertices (3, 0), (-3, 0)?

	A.
	B.
	C.
	D.

 

Answer 1

The vertices lie on the line y=0 which is horizontal. This means the major axis is the x-axis.

The horizontal ellipse equation is x²/a² + y²/b² = 1

Vertices : (± a, 0) = (± 3, 0)  ----->   a = 3

Co-vertices : (0, ±b) = (0, ± 2)  ----->   b = 2.

Substitute a = 3 and b = 2 in the ellipse equation.

x²/(3)² + y²/(2)² = 1

x²/9 + y²/4 = 1

The option C is correct.

 

Comments

Please check the updated answer.