Question

In the given figure, which of the following must be true?

• A. $pq<0$
• B. $p<q$
• C. $p+q=0$
• D. $p-q=0$

Answer 1

Answer: (A), (B)

The correct options are
A $pq<0$
B $p<q$

Since, $(p,q)$ is in Second quadrant where $p<0$ and $q>0.$

So, $\left(A\right)pq<0$ is correct

(B) $p<q$ holds true, since $q$ is positive and $p$ is negative in second quadrant.

(C) $p+q=0$, it may possible.

(D) $p-q=0$, it is not possible.

Therefore, A and B are correct options.