Question

n which quadrant the point P that divides the line segment joining the points A(2, -5) and B(5, -2) in ratio 2:3 lies?

Answer 1

Hello
Your answer is P(16/5,-19/5)

Answer 2

Answer:

The point P lie in the 4 quadrant.

Step-by-step explanation:

Given: Point $P(x_3,y_3)$ divides  the line segment joining the points $A(x_1,y_1)=(2,-5)$ and point $B(x_2,y_2)=(5,-2)$  in ratio 2:3.

To find : Which quadrant the point P lie?

Solution :

The line AB divides by Point C in a ration 2:3

Then, Using section formula $(x_3,y_3)=\frac{x_1n+x_2m}{m+n},\frac{y_1n+y_2m}{m+n}$  

$(x_3,y_3)=(\frac{2(3)+5(2)}{2+3}),(\frac{(-5(3)+(-2)(2))}{2+3})$  

$(x_3,y_3)=(\frac{6+10}{5}),(\frac{-15-4}{5})$  

$(x_3,y_3)=(\frac{16}{5},\frac{-19}{5})$  

In the point P,  x-coordinate is positive and y-coordinate is negative.

So, The point P lie in the 4 quadrant.