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The greatest value of ‘c’, for which the system of linear equations has a non-trivial solution is
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-1
b
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c
12
d
2
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Correct option is C
The given homogeneous system has a non-trivial solution⇒Δ=0⇒1-c-cc-1ccc-1=0⇒11-c2+c-c-c2-cc2+c=0⇒2c3+3c2-1=0⇒(c+1)2(c-1/2)=0⇒c=−1,1/2⇒the greatest value of c=1/2Similar Questions
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