Question

The number of straight lines that are equally inclined to both the axes is

• A. $4$
• B. $3$
• C. $2$
• D. $1$

Answer 1

The correct option is C

$2$

Explanation for the correct answer:

Since the coordinate axes meet at right angles, the lines that are equally inclined will be making ${45}^{\circ }$ and ${135}^{\circ }$ to both the axes.

So the slope is $1$ and$-1$.

$\Rightarrow y=x$and $y=-x$

So, there will be $2$ lines that are equally inclined to both the axes.

Hence, option (C) is the correct answer.