Question

The locus of a point P which moves in such a way that the segment OP, where O is the origin, has slope $\sqrt{3}$ is

• A.
• B.
• C.
• D.

Answer 1

The correct option is D

Slope is given by $\frac{dy}{dx}=\sqrt{3}\Rightarrow \int dy=\sqrt{3}\int dx$

$\Rightarrow$ $\sqrt{3}x-y+c=0$

This passes through (0, 0), so c = 0

Hence the required locus is $\sqrt{3}x-y=0$.