Question

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

• A. $4$
• B. $2$
• C. $3$
• D. $1$

Answer 1

The correct option is B $2$

Since coordinate axes meets at right angle so the lines that are equally inclined must be inclined at ${45}^o$ or $(90+{45}^o)$ to both axes thus slope$=1$ or $-1$

$\Rightarrow y=x_1$ or $y=-x$

Thus $\ne$ of straight lines that are equally inclined to both axes are $2$.