Question

The coordinates $(-5,6)$ and $(6,-5)$ lie in quadrants, respectively.

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

Answer 1

The correct option is C $2^{nd},4^{th}$

In $(-5,6)$, the sign of $x$-coordinate is negative and $y$-coordinate is positive; hence, $\underset{–}{(-5,6)\text{lies in quadrant 2}}$.

We know $(-5,6)$ and $(6,-5)$ are different points as $-5\ne 6$. So, $(6,-5)$ should lie in quadrant other than quadrant 2.

In $(6,-5)$, the sign of $x$-coordinate is positive and $y$-coordinate is negative; hence, $\underset{–}{(6,-5)\text{lies in quadrant 4}}$.