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The greatest value of cRfor which the system of linear equations xcycz=0,  cxy+cz=0,  cx+cyz=0 has a non-trivial solution is

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a
12
b
-1
c
0
d
2

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detailed solution

Correct option is A

Given system of equations has a nontrivial solution ⇒1-c-cc-1ccc-1=0⇒2c3+3c2−1=0⇒(c+1)2(2c−1)=0⇒c=−1,  12Greatest value of cis 12


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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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