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Question

If the line passes through the points P(6,1,2),Q(8,7,2λ) and R(5,2,4) then value of λ is ________.

A
3
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B
0
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C
1
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D
2
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Solution

The correct option is B 1
If a single line passes through the three points P, Q and R, then, Q is of the form t.P+(1t).R, for some tR.
So we have,
8=6t+5(1t),7=t+2(1t) and 2λ=2t+4(1t).
The first of these equations gives us t=3.
Substituting t=3 in the last equation, we get
λ=1.

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