Question

Points P, Q, R and S divide the
line segment joining the points.
equal parts. A(1,2) and B(6,7) is 5 equal parts . find the coordinates
of the point P Q and R
​

Answer 1

Answer:

P, Q, R, S divide the line segment AB on the ratio 1:4,2:3,3:2,4:1 respectively.

From above P divides AB in 1:4 ratio

coordinates of P using section formula,

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

here m=1 and n=4,x

1

=1,x

2

=6,y

1

=2,y

2

=7

⇒

5

6+4

,

5

7+8

⇒(2,3)= coordinates of P

Similarly,

Coordinates of Q,

Q divide AB in 2:3 ratio,

⇒

5

12+3

,

5

14+6

⇒ (3,4)= coordinates of Q

Similarly,

R divide AB in 3:2 ratio,

Coordinates of R,

⇒

5

18+2

,

5

21+4

⇒ (4,5)= coordinates of R