The number of solutions of the system of

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Applications of Derivatives

Question:

The number of solutions of the system of equations

$\alpha^2x+\alpha y = - 1$

$\alpha x+ \alpha^2y = 1$

is infinite. Then $\alpha$ is :

Options:

-1

Correct Answer:

-1

Explanation:

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 $α=-1$