Question

If the line segment joining the points A(2,1) & B(5,-8) is trisected at the points P& Q .then the coordinate of P will be

Answer 1

Answer:

P (11/3,-5/3)

Step-by-step explanation:

refer to the image solution

Answer 2

Answer: P = (3, - 2).

Explanation:

P divides AB in ratio 1 : 2.

Therefore, m = 1, n = 2.

We know, section formula for any point dividing a line segment internally:

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

Therefore, x - coordinate :

x = (1·5 + 2·2)/(3)

=> x = 9/3 = 3.

y - coordinate :

y = [1·(- 8) + 2·(1)]/(3)

=> y = - 6/3 = - 2.

So, P lies in (3, - 2).