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