Consider the ellipse

MATHEMATICS · Single correct · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

4x^{2}+9y^{2}=36

. Which of the following points has a vertical tangent? (a)

(0,\,2)

(b)

(3,\,0)

(c)

(2,\,\sqrt{2})

(d)

(1,\,\frac{4\sqrt{2}}{3})