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CUET
-- Mathematics - Section B1
Applications of Derivatives
The number of solutions of the system of equations
α2x+αy=−1
αx+α2y=1
is infinite. Then α is :
0
1
-1
2
The correct answer is Option (3) → -1
for infinite no. of solution to exist
\frac{α^2}{α}=\frac{α}{α^2}=\frac{-1}{1}
so α=-α^2⇒α^2+α=0
so α=0,1
for α=0 not exists
so α=-1