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

If Rashmi has to post a blue flag exactly halfway between the line segment joining the two flags, where should she post her flag?

A) (5,22.5)

B) (10,22)

C) (2,8.5)

D) (2.5,20)

Correct Answer: A

Solution :

The point at which Rashmi should post her blue flag is the mid-point of the line joining these points.

Let this point be A (x, y).

\[x=\frac{2+8}{2},y=\frac{25+20}{2}\]

\[x=\frac{10}{2}=5,\,y=\frac{45}{2}=22.5\]

Hence, A(x, y) = (5, 22.5)