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Question

A straight line passes through the points (2,4) and (5,2). Taking 1cm=1 units, mark these points on a graph paper and draw the straight line through these points. If points (m,4) and (3,n) lie on the drawn line, find the values of m and n.

A
m=1 and n=2
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B
m=3 and n=2
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C
m=6 and n=2
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D
m=9 and n=2
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Solution

The correct option is C m=6 and n=2
Equation of a straight line passing through(x1,y1) and (x2,y2) is
[yy1=y2y1x2x1(xx1)]

here (x1,y1)=(2,4) and (x2,y2)=(5,2)

y4=2452(x2)
3y12=6x+12
6x+3y=24
(m,4) and (3,n) lie on the line then,
6m12=24
6m=36
m=6
18+3m=24
3m=6
n=2
Therefore m=6 and n=2

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