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Question

The three lines drawn from O with direction ratios, (1, –1, k), (2, –3, 0) and (1, 0, 3) are coplanar. Then k =

A
1
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B
no such k exists
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C
7
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Solution

The correct option is A 1
If lines are coplanar and l, m, n are d.c.’s of the normal to the plane, then
l – 1.m + k.n = 0
l – 3.m + 0.n = 0
l – 0.m + 3.n = 0
∣ ∣11k230103∣ ∣=0k=1

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