Question

If $x<0$ and $y>0$, then the point $(x^2,xy)$ lies in the

• A.
  $1^{st}$ quadrant
• B.
  $2^{nd}$ quadrant
• C.
  $3^{rd}$ quadrant
• D.
  $4^{th}$ quadrant

Answer 1

The correct option is D

$4^{th}$ quadrant
Given that $x<0$ and $y>0$
Now, $x<0$
$\Rightarrow x^2>0$
And,
$x<0$ and $y>0$
$\Rightarrow xy<0$

Any point in the fourth quadrant has its x-coordinate positive and y-coordinate negative.

Thus, the point $(x^2,xy)$ lies in the fourth quadrant.

Hence, the correct answer is option (d).