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?

Answer: Option C

Solution

Answer: Option C

Solution:

$$\begin{array}{rl}& \left(x,y\right)=\left(\frac{m_1{x}_2+m_2{x}_1}{m_1+m_2},\frac{m_1{y}_2+m_2{y}_1}{m_1+m_2}\right)\\ & 5=\frac{2\times 0+5\times x}{2+5}\\ & 35=5x\\ & x=7\\ & -2=\frac{2\times y+5\times 0}{2+5}\\ & -14=2y\\ & y=-7\\ & x=7,y=-7\end{array}$$