Question

State True or False.

The point $(-x,-y)$ lies in the first quadrant where x < 0, y < 0.

• A. True
• B. False

Answer 1

The correct option is A True

First quadrant $X=$ positive and $Y=$positive

Second quadrant $X=$negative and $Y=$positive

Third quadrant $X=$negative and $Y=$negative

Fourth quadrant $X=$positive and $Y=$negative

Now, the given points is $(-x,-y)$ where $x<0$ and $y<0$. So,$-x>0$ and $-y>0$.

$(-x,-y)$ has abscissa=$-x,$positive and ordinate =$-y,$positive

The point lies in the first quadrant. Hence, the given statement is True.