1. The point P(5,-2) divides the segment joining the points (x,0) and (0,y) in the ratio 2:5. What is the value of x and y?
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By: anil on 05 May 2019 02.17 am
Using section formula, the coordinates of point that divides line joining A = $$(x_1 , y_1)$$ and B = $$(x_2 , y_2)$$ in the ratio a : b = $$(frac{a x_2 + b x_1}{a + b} , frac{a y_2 + b y_1}{a + b})$$ Now, point P (5,-2) divides (x,0) and (0,y) in ratio = 2 : 5 => $$5 = frac{(2 imes 0) + (5 imes x)}{2 + 5}$$ => $$x = frac{5 imes 7}{5} = 7$$ Similarly, $$-2 = frac{(2 imes y) + (5 imes 0)}{2 + 5}$$ => $$y = -1 imes 7 = -7$$
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