the coordinates of the points p and q are (4, -3 ) and ( -1, 7) then the abscissa of a point r on the line segment pq such that pr / pq = 3/5 is
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The coordinates of the points P and Q are respectively (4, - 3) and (-1, 7) Then the abscissa of a point R on the line segment PQ such that
PQ
PR
=
5
3
is
Medium
Solution
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Correct option is
D
1
Using the section formula, if a point (x,y) divides the line joining the
points (x
1
,y
1
) and (x
2
,y
2
) internally
in the ratio m:n, then (x,y)=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Substituting (x
1
,y
1
)=(4,−3) and (x
2
,y
2
)=(−1,7) and m=3,n=2 in the section formula, we get
the abscissa of the point (
3+2
3(−1)+2(4)
)=1
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