Points P, Q, R and S divide a line segment joining A (2, 6) and B (7, -4) in five equal parts. Find the coordinates of P and R.
Answers
Answered by
3
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
Answered by
2
Step-by-step explanation:
your answer is given in the above attachment.
Have A Nice Day
Attachments:
Similar questions