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The value of k for which the set of equa...

The value of k for which the set of equations `3x+ky-2z=0, x + ky + 3z = 0 and 2x+3y-4z=0` has non-trivial solution is (A) 15 (B) 16 (C) 31/2 (D) 33/2

Text Solution

Verified by Experts

Line1`=>3x+ky-2z=0`
line2=>`x+ky+3z=0`
line3=>`2x+3y-4z=0`
for non trivial solution determinant=0
`|(3,k,-2),(1,k,3),(2,3,-4)|=0`
on solving we get=>`2k=33`
`k=33/2`
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