10th Class Mathematics Coordinate Geometry Question Bank Case Based (MCQs) - Coordinate Geometry

Study Case : Q. 16 to 20

All of the persons know that smoking is injurious to health. So, college students decided to make a campaign.

To raise social awareness about hazards of smoking, school decided to start "NO SMOKING" campaign.

Some students are asked to prepare campaign banners in the shape of triangle as shown in the figure:

Based on the above information, give the answer of the following questions:

The coordinates of the mid-point of Q and R are:

A) \[(5,3)\]

B) \[(6,3)\]

C) \[\left( \frac{11}{2},3 \right)\]

D) \[\left( 7,3 \right)\]

Correct Answer: C

Solution :

The coordinates of the vertices Q and R are \[(2,3)\] and \[(9,3)\]respectively.

\[\therefore \] Mid-point of Q and

\[R=\left\{ \frac{2+9}{2},\frac{3+3}{2} \right\}=\left( \frac{11}{2},3 \right)\]

So, option [c] is correct.