Question

Points P, Q, R, S and T divide the line
segment joining the points A(12) and
B (6, 7) in 6 equal parts. Find coordinates of
the points P, Q, R, S and T.​

Answer 1

Answer:

10th

Maths

Coordinate Geometry

Section Formula

Points P, Q, R and S divide...

MATHS

Points P, Q, R and S divide the line segment joining the points A(1,2) and B(6,7) in five equal parts. Find the coordinates of the points P, Q and R.

MEDIUM

Share

Study later

ANSWER

Given: Points P, Q, R and S divides a line segment joining the points A(1,2) and B(6,7) in 5 equal parts. We know that:

x=

m

1

+m

2

m

1

x

2

+m

2

x

1

y=

m

1

+m

2

m

1

y

2

+m

2

y

1

Now,

Step 1: Find coordinates of P.

P(x,y) divides AB in the ratio 1:4

x=(1×6+4×1)/1+4

=(6+4)/5

=10/5

=2

y(1×7+4×2)/5

=(7+8)/5

=15/5

=3

So, P(x,y)=P(2,3)

Step 2: Find coordinates of Q.

Q divides the segment AB in ratio 2:3

x=(2×6+3×1)/5

=(12+3)/5

=15/5=3

y=(2×7+3×2)/5

=(14+6)/5

=20/5=4

So, Q(x,y)=Q(3,4)

Step 3: Find coordinates of R.

R divides the segment AB in ratio 3:2

x=(3×6+2×1)/5

=(18+2)/5

=20/5

=4

y=(3×7+2×2)/5

=(21+4)/5

=25/5

=5

So, R(x,y)=R(4,5).