Question

$P$ is the point $(-5,3)$ and $Q$ is the point $(-5,m)$. If sum of abscissas and ordinates of both points is equal, then the possible value of $m$ is?

• A. $-5$
• B. $-13$
• C. $-10$
• D. $3$

Answer 1

The correct option is B

$-13$

Step 1: Determine the sum of abscissa and ordinate

Given are the points $P$ $(-5,3)$ and $Q$ $(-5,m)$

The sum of abscissas is the sum of x-coordinates of both the points which is: $\left(-5\right)+\left(-5\right)=\left(-10\right)\dots \left(1\right)$

The sum of ordinate is the sum of the y-coordinate of both points which is : $(m+3)\dots \left(2\right)$

Step 2: Finding the value of $m$

As the sum of both the abscissa and ordinate is equal,

$$\begin{gathered} \Rightarrow \left(-10\right)=m+3 \\ \Rightarrow m=\left(-13\right) \end{gathered}$$

Hence, the correct option is B.