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

 

 

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a
15
b
115
c
−15
d
5

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detailed solution

Correct option is B

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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