Question

Mathematically, what is the equation of ellipse?

(a) x^2/a^2 + y^2/b^2  = -1

(b) x^2/a^2 – y^2/b^2  = 1

(c) x^2/a^2 + y^2/b^2  = 1

(d) x^2/a^2 – y^2/b^2  = 1

I had been asked this question in homework.

My doubt is from Construction of Ellipse topic in chapter Geometrical Construction of Engineering Drawing

Answer 1

Correct option is (c) x^2/a^2 + y^2/b^2  = 1

The best I can explain: Equation of ellipse is given by; x^2/a^2 + y^2/b^2  = 1. Here, a and b are half the distance of lengths of major and minor axes of the ellipse. If the value of a = b then the resulting ellipse will be a circle with centre (0,0) and radius equal to a units.