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Q.

If the system of equations x−y+z=0, kx−y+3z=0, x+2y+3z=0 has non trivial solution then K=

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a

15

b

115

c

−15

d

5

answer is B.

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Detailed Solution

Since 1−11k−13123=0 ⇒1[−3−6]+1[3k−3]+1[2k+1]=0 ⇒−9+3k−3+2k+1=0⇒5k−11=0⇒k=115
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If the system of equations x−y+z=0, kx−y+3z=0, x+2y+3z=0 has non trivial solution then K=