If the pointegral (P(x,y)) divides the line segment joining... | Mathematics | SolveeIt | Solveeit

Today, August 18

Question

If the point $P(x,y)$ divides the line segment joining the points $A(x_1,y_1$ ) and $B(x_2,y_2)$ internally in the ratio $m_1:m_2$ , then $P(x, y)=$ _____ .

A

$(\frac {m_1x_2-m_2x_1}{m_1-m_2}, \frac {m_1y_2-m_2y_1}{m_1-m_2})$

B

$(\frac {m_1x_2+m_2x_1}{m_1-m_2}, \frac {m_1y_2+m_2y_1}{m_1-m_2})$

C

$(\frac {m_1x_2+m_2x_1}{m_1+m_2}, \frac {m_1y_2+m_2y_1}{m_1+m_2})$

D

$(\frac {m_1x_2-m_2x_1}{m_1+m_2}, \frac {m_1y_2-m_2y_1}{m_1+m_2})$

Answer

$(\frac {m_1x_2+m_2x_1}{m_1+m_2}, \frac {m_1y_2+m_2y_1}{m_1+m_2})$

Explanation

Solution

The correct option is (C): $(\frac {m_1x_2+m_2x_1}{m_1+m_2}, \frac {m_1y_2+m_2y_1}{m_1+m_2})$ .