The point P(-4,1) divides the segment joining the points (x,0) and (0,y) in the ratio 3:2. Find x and y?

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 (-4,1) divides (x,0) and (0,y) in ratio = 3 : 2

=> $$-4 = \frac{(3 \times 0) + (2 \times x)}{3 + 2}$$

=> $$x = \frac{-4 \times 5}{2} = -10$$

Similarly, $$1 = \frac{(3 \times y) + (2 \times 0)}{3 + 2}$$

=> $$3y = 5$$, => $$y = \frac{5}{3}$$

=> Ans - (A)