Question

In which quadrant (in number) or on which axis will $(x,y)$ lie if $x<0$ and $y<0$?

Answer 1

We know,

in $I$ quadrant both $x$ and $y$ are positive,
in $II$ quadrant $x$ is negative and $y$ is positive,
in $III$ quadrant both $x$ and $y$ are negative
and in $IV$ quadrant $x$ is positive and $y$ is negative.

Given, $x<0,y<0$.

That is, $x$ is negative and $y$ is negative.

Hence, the given point $(x,y)$ lies in the $III$rd quadrant.

Therefore, $3$ is the answer.