Question

P and Q are the points on the line segment joining the points A(8, 3) and B(11, 15) such that

AP=PQ=QB. Find the coordinates of P and Q

Answer 1

let P(x, y) and Q (r, t )

a/c to question,

AP = PQ = QB

A ========P ========Q===========B

use section formula,

P divide the AB in 1 :2 ratio
x -co-ordinate of P
x =(1×11+2×8)/(3) =27/3 = 9

y-co-ordinate of P
y =(1×15+2×3)/(3) = 21/3 = 7

hence, point P = (9,7)

now, in the same way for Q

Q divide line AB in 2 : 1 ratio ,

x-co-ordinate of Q

x =(2×11+1×8)/3 =30/3 = 10

y -co-ordinate of Q
y=(2×15+3)/3 =33/3 = 11

hence, point Q =(10,11)

Answer 2

Answer:

this is the answer for this question