Question

The point at which the tangent line to the curve $x^3+y^3=a^3$ is parallel to y-axis is

• A. (0, a)
• B. (a, 0)
• C. (-a, 0)
• D. (0, -a)

Answer 1

The correct option is B (a, 0)

Given,

$x^3+y^3=a^3$

Since, it's given that, the tangent is parallel to y-axis

$\Rightarrow y=0$

$\therefore (a,0)$ is the point at which the tangent line to the curve