The point P(5, -2) divides the segment joining the point (x, 0) and (0, y) in the ratio 2 : 5 what is the value of x and y?

Solution (By Examveda Team)

$$\eqalign{ & \left( {x,\,y} \right) = \left( {\frac{{{m_1}{x_2} + {m_2}{x_1}}}{{{m_1} + {m_2}}},\,\frac{{{m_1}{y_2} + {m_2}{y_1}}}{{{m_1} + {m_2}}}} \right) \cr & 5 = \frac{{2 \times 0 + 5 \times x}}{{2 + 5}} \cr & 35 = 5x \cr & x = 7 \cr & - 2 = \frac{{2 \times y + 5 \times 0}}{{2 + 5}} \cr & - 14 = 2y \cr & y = - 7 \cr & x = 7,\,y = - 7 \cr} $$