Which of the following equations represents a vertical tangent line to the curve that…

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

Which of the following equations represents a vertical tangent line to the curve

x^{2}+xy+y^{2}=4

that lies in the first quadrant? (a)

x=\sqrt{3}

(b)

y=\dfrac{4}{\sqrt{3}}

(c)

x=\dfrac{4}{\sqrt{3}}

(d)

x=\dfrac{2}{\sqrt{3}}