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 \(P(x, y)=\) _____ .
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 \(P(x, y)=\) _____ .
Updated On: Jun 1, 2024
- \((\frac {m_1x_2-m_2x_1}{m_1-m_2}, \frac {m_1y_2-m_2y_1}{m_1-m_2})\)
- \((\frac {m_1x_2+m_2x_1}{m_1-m_2}, \frac {m_1y_2+m_2y_1}{m_1-m_2})\)
- \((\frac {m_1x_2+m_2x_1}{m_1+m_2}, \frac {m_1y_2+m_2y_1}{m_1+m_2})\)
- \((\frac {m_1x_2-m_2x_1}{m_1+m_2}, \frac {m_1y_2-m_2y_1}{m_1+m_2})\)
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Verified By Collegedunia
The Correct Option is C
Solution and Explanation
The correct option is (C): \((\frac {m_1x_2+m_2x_1}{m_1+m_2}, \frac {m_1y_2+m_2y_1}{m_1+m_2})\).
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