Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Co-ordinate Geometry

Question:

Find the co-ordinate of the mid point of a line which joins $P(2, -1)$ and $Q(-3, 4)$:

Options:

$\left(-\frac{1}{2},\frac{3}{2}\right)$

$\left(\frac{3}{2},\frac{1}{2}\right)$

$\left(\frac{2}{3},\frac{3}{2}\right)$

$\left(-\frac{5}{2},-\frac{1}{2}\right)$

Correct Answer:

$\left(-\frac{1}{2},\frac{3}{2}\right)$

Explanation:

Line joins P(2,1) and Q(3,4)

Mid Point = (x1+x2)/2 , (y1+y2)/2 = (2-3)/2, (-1+4)/2 = -1/2 , 3/2

The correct answer is Option (1) → $\left(-\frac{1}{2},\frac{3}{2}\right)$