Question

The point p which divides the line segment joining points a(2,-5) and b(5,2) in the ratio 2:3 lies in which quadrant

Answer 1

according to me it should lie in fourth quadrant

Answer 2

Point p lies in 4th quadrant.

Step-by-step explanation:

It is given that point p divides the line segment joining points a(2,-5) and b(5,2) in the ratio 2:3.

We need to find the quadrant of point p.

Section formula:

If a point divides a line segment in m:n whose end points are  and , then the coordinates of that point are

$(\frac{mx_2+nx_1}{m+n},\frac{my_2+ny_1}{m+n})$

Using section formula we get

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

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

$p=(\frac{16}{5},-\frac{11}{5})$

x-coordinate is positive and y-coordinate is negative. It means point p lies in 4th quadrant.

#Learn more

Find the coordinate of the point which divide the line segment joining A(2,3) and B(3,4) in the ratio 2:3

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