Question

the point P that divides the line segment joining the points A(2,-5) and B(5,2) in the ratio 2:3 find the coordinates of p
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Answer 1

Answer:

IV quadrant

The point P which divides the line segment joining the points A(2, 5) and B(5, 2) in the ratio 2 : 3 lies in the quadrant. So, P lies is IV quadrant.

Hope it helps :)

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.

hope u understood ;)