Let z+αz−α is purely imaginary and ∣z∣=2,α∈R then α is equal to (A) 2 (B) 1 (C) 2 (D) 3

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Question

Let $\frac{z - α}{z + α}$ is purely imaginary and $∣ z ∣ = 2, α \in R$ then $α$ is equal to (A) $2$ (B) $1$ (C) $2$ (D) $3$

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Noah Discussed

Let

\frac{z - α}{z + α}

is purely imaginary and

∣ z ∣ = 2, α \in R

then

α

is equal to (A)

2

(B)

1

(C)

2

(D)

3

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Question Text

Let

\frac{z - α}{z + α}

is purely imaginary and

∣ z ∣ = 2, α \in R

then

α

is equal to (A)

2

(B)

1

(C)

2

(D)

3