Question

If the point \(\mathrm{R}(5,7)\) is the mid-point of the line segment joining the points \(\mathrm{P}(3, y)\) and \(\mathrm{Q}(x, 9)\), then \((x + y)\) equals:

पर्याय

• 7

• 9

• 12

• 14

Answer 1

12

Explanation:

From the mid-point formula:

\(\frac{3 + x}{2} = 5 \Rightarrow x = 7\) and \(\frac{y + 9}{2} = 7 \Rightarrow y = 5\)

Hence \(x + y = 12\).