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Question

If the points (a,1),(2,1) and (4,5) are collinear .Then ,the value of a is

A
1
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B
2
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C
3
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D
4
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Solution

The correct option is A 1
Refer attached image.

Since the three points are on same line, so line equation formed by (2,1) , (4,5) satisfy equation of line given by:

5142=y1x2

42=y1x2

2=y1x2

2(x2)=y1

2x4=y1

y=2x3 --Line Eqn --

Now put point (a-1) in Line Eqn

1=2a3
2a=2
a=1


1027256_1082194_ans_296fe9f9b8b54d3e80755475cce0e940.JPG

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