find the coordinates of a point R which divides the line segment joining the P(−7, 4)and Q(−6,−5)suchthat PR/RQ=4/7
Answers
Answered by
0
Step-by-step explanation:
Given that the point R(x,y) divides the line segment PQ joining the points P(x
1
,y
1
)=(1,3) & Q(x
2
,y
2
)=(2,5) in a ratio such that
PQ
PR
=
5
3
i.e PR<PQ.
⇒R divides PQ internally.
Here
PQ
PR
=
5
3
⇒
PR
PQ
=
3
5
⇒
PR
PR+RQ
=
3
5
⇒
PR
RQ
=
3
2
⇒
QR
PR
=
2
3
∴m:n=3:2
∴ By the section formula, we have
x=
m+n
nx
1
+mx
2
& y=
m+n
ny
1
+my
2
i.e x=
2+3
2×1+3×2
=
5
8
and y=
2+3
2×3+3×5
=
5
21
Therefore, x=
5
8
;y=
5
21
Hence, option A is the correct answer.
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