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The number of real values of ‘a’ for which the system & equations has a non-trivial solution is
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a
3
b
1
c
0
d
Infinite
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Correct option is A
The condition for a homogeneous system to have a non-trivial solution is Δ=0⇒0a−12+a−1a2+a12=0⇒2+a0a−11−1a112=0⇒2+a0-2+a−a2−a−11+1=0⇒2+a=0, −2a+a2−2=0⇒a2−2a−2=0⇒a=1∓3Similar Questions
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