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a
0,2a
b
a,2a
c
0,3a
d
Non of these
answer is C.
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Detailed Solution
Δ=a+xa−xa−xa−xa+xa−xa−xa−xa+x=0⇒Δ=3a−xa−xa−x3a−xa+xa−x3a−xa−xa+x,C1→C1+C2+C3=(3a−x)1a−xa−x1a+xa−x1a−xa+x=0 Using R2→R2−R1 and R3→R3−R1⇒Δ=(3a−x)1a−xa−x02x0002x=0 or, 4x2(3a−x)=0⇒x=0 or 3a