Q.

The values of k∈R for which the system of equations x+ky+3z=0, kx+2y+2z=0, 2x+3y+4z=0 has nontrivial solution are

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a

2

b

5/2

c

3

d

5/4

answer is A.

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Detailed Solution

1k3k-22234=0or   8+4k+9k−12−4k2−6=0or   4k2−13k+10=0or   4k2−8k−5k+10=0or   (2k−5)(k−2)=0or   k=5/2,2
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