Question

12. Co-ordinates of the midpoint of the line joining the points P(5, 8) and Q( 7, 10) are __________. A. ( 12 , 18) B. ( 12, 9 ) C. ( 6 , 18 ) D. ( 6 , 9 )​

Answer 1

Given:-

Coordinates of the points joining the line PQ are

• P(5,8) $\mapsto{\sf{(x_1,y_1)}}$
• Q(7,10) $\mapsto{\sf{(x_2,y_2)}}$

To Find:-

• Mid Point of the line PQ.

Solution:-

$\boxed{\bold{(x,y) = \frac{(x_1+x_2)}{2}, \frac{(y_1+y_2)}{2}}}$

Where, (x,y) is the Midpoint of Required Line Segment.

$(x,y) = [\frac{(5 + 7)}{2} ], [\frac{(8 + 10)}{2} ] \\ (x,y) = [\cancel{\frac{12}{2}} ] ,[\cancel{\frac{18}{2}} ] \\ (x,y) = 6,9$

Mid Point of Line PQ $\longmapsto\Large\sf{(6,9)}$

• Option D.

$\bold{@MrMonarque}$

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