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Question

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 PRPQ=35 is

A
185
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B
175
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C
178
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D
1
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Solution

The correct option is A 1

Using the section formula, if a point (x,y) divides the line joining the
points (x1,y1) and (x2,y2) internally
in the ratio m:n, then (x,y)=(mx2+nx1m+n,my2+ny1m+n)
Substituting (x1,y1)=(4,3) and (x2,y2)=(1,7) and m=3,n=2 in the section formula, we get
the abscissa of the point (3(1)+2(4)3+2)=1


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