Question

Find the mid-point of the line joining the points P(2, 5) and Q(4, 3)?
1. (4, 5)
2. (1, 2)
3. (3, 4)
4. (3, 5)

Answer 1

Correct Answer - Option 3 : (3, 4)

Concept:

Let A(x1, y1) and B(x2, y2) be the two points then the mid-point of the line joining the points A and B is \(\rm (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}).\)

Calculation:

Given: P(2, 5) and Q(4, 3) are two points in a 2D plane.

As we know that, the mid-point of the line joining the points A(x1, y1) and B(x2, y2) is given by: \(\rm (\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}).\)

Let R be the mid-point of the line joining the points P and Q.

\(\Rightarrow \rm R=(\frac{4+2}{2}, \frac{5+3}{2} )=(3, 4)\)

Hence, the correct option is 3.