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 $P(x, y)=$ _____ .

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  $P(x, y)=$  _____ .

cdquestions Admin · Accepted Answer

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

Answer

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

Answer

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

Answer

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

Answer

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

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 \(P(x, y)=\) _____ .

The Correct Option is C

Solution and Explanation

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