Question

If $P(-2,2),Q(3,-3),R(1,-1),S(-2,-3)$ and $T(-5,5)$ are plotted on the graph paper, then which points lie on $II$ quadrant?

• A. $P$ and $T$
• B. $Q$ and $R$
• C. Only $S$
• D. $P$ and $R$

Answer 1

Answer: (A)

$P$ and $T$

We know, in the $xy$-plane, any point is of the form $(x,y)$, where $x,y$ can be any real number.

Also, for the point $(x,y)$,

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.

From the given points, only $P(-2,2)$ and $T(-5,5)$ has its $x$-coordinate negative and $y$-coordinate positive, and therefore these two points lie in the $II$nd quadrant.

Therefore, option $A$ is correct.