Question

Which of the following is not a parabola equation?

(a) x^2 = 4ay

(b) y^2 – 8ax = 0

(c) x^2 = by

(d) x^2 = 4ay^2

The question was posed to me in quiz.

My query is from Construction of Parabola topic in portion Geometrical Construction of Engineering Drawing

Answer 1

Right option is (d) x^2 = 4ay^2

Explanation: The remaining represents different forms of parabola just by adjusting them we can get general notation of parabola but x^2 = 4ay^2 gives equation for hyperbola. And x^2 + 4ay^2 =1 gives equation for ellipse.