Question

What is the equation of the ellipse with vertices at (-25, 0), (25, 0) and co-vertices (0, -15), (0, 15)?

	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) = (± 25, 0)  ----->   a = 25.

Co-vertices : (0, ±b) = (0, ± 15)  ----->   b = 15.

Substitute a = 25 and b = 15 in the ellipse equation.

x²/(25)² + y²/(15)² = 1

x²/625 + y²/225 = 1

The option D is correct.

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