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in Coordinate Geometry by (43.3k points)
edited by

If P divides the line joining A(x1 , y1) and B(x2 , y2 ) internally in the ratio m : m , then P is

A) \(\left(\cfrac{m_1x_2+m_2y_2}{m_1-m_2},\cfrac{m_1 x_1+m_2y_1}{m_1-m_2}\right)\)

B) \(\left(\cfrac{m_1x_1+m_2x_2}{m_1-m_2},\cfrac{m_1 y_1+m_2y_1}{m_1-m_2}\right)\)

C) \(\left(\cfrac{m_1x_2+m_2x_1}{m_1+m_2},\cfrac{m_1 y_2+m_2y_1}{m_1+m_2}\right)\)

D) \(\left(\cfrac{m_1x_2+m_2x_1}{m_1+m_2},\cfrac{m_1 y_1+m_2y_2}{m_1+m_2}\right)\)

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1 Answer

+1 vote
by (43.0k points)

Correct option is C) \(\left(\cfrac{m_1x_2+m_2x_1}{m_1+m_2},\cfrac{m_1 y_2+m_2y_1}{m_1+m_2}\right)\)

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