Question

The ratio in which the point P(-3, y) divides the line segment joining the points A (-5, -4) and B(-2, 3) is​

Answer 1

Answer:

Let the ration be m1 :m2

A(x1,y1) = (-5,-4)

B(x2,y2) = (-2,3)

Coordinate of P = (m1x2+m2x1/m1+m2 ,  m1y2+m2y1/m1+m2)= (-3,y)

-3 =  -2$m_{1}$ - 5 $m_{2}$ /$m_{1}$+$m_{2}$

-3$m_{1}$ -3 $m_{2}$ = -2$m_{1}$ - 5 $m_{2}$

Therefore $m_{1}$ = 2 $m_{2}$

Hence,

$m_{1}$ /$m_{2}$ =2:1  is the answer

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