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

Find the image of the mid-point of AB with respect ro X-axis.

A) \[\left( \frac{1}{2},-4 \right)\]

B) \[\left( -\frac{1}{2},4 \right)\]

C) \[\left( \frac{1}{2},4 \right)\]

D) \[\left( -\frac{1}{2},-4 \right)\]

Correct Answer: A

Solution :

Mid-point of

\[AB=\left\{ \frac{-2+3}{2},\frac{4+4}{2} \right\}=\left\{ \frac{1}{2},\frac{8}{2} \right\}=\left( \frac{1}{2},4 \right)\]

\[\therefore \] The image of the mid-point of AB with respect to X-axis is \[\left( \frac{1}{2},-4 \right)\]

So, option [a] is correct.