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Question

If the points (1,2,1), (2,1,0), (λ,3,2) are collinear, then which of the following can be correct ?

A
2λ29λ+4=0
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B
2λ2+7λ4=0
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C
λ2+λ12=0
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D
λ2λ12=0
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Solution

The correct option is C λ2+λ12=0
For collinear points:
x3x1x2x1=y3y1y2y1=z3z1z2z1
λ+12+1=3212=2101
λ+13=1
λ+1=3
λ=4

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