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Question

The plane containing the two lines x31=y24=z15andx21=y+34=z+15 is 11x + my + nz = 28, where

A
m = –1, n = 3
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B
m = 1, n = –3
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C
m = –1, n = –3
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D
m = 1, n = 3
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Solution

The correct option is C m = –1, n = –3
Point (3, 2, 1) and (2, –3, –1)
lies on 11x + my + nz = 28
ie, 33 + 2m + n = 28
2m + n = – 5 . . .(i)
and 22 – 3m – n = 28
–3m – n = 6 . . .(ii)
From Eqs. (i) and (ii),
m = –1, n = –3

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