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If alpha and beta are different compl...

If `alpha` and `beta` are different complex numbers with `|beta|=1,` then find `|(beta-alpha)/(1- baralphabeta)|` .

A

0

B

1

C

2

D

None of these

Text Solution

AI Generated Solution

To find the value of \( \left| \frac{\beta - \alpha}{1 - \overline{\alpha} \beta} \right| \) given that \( |\beta| = 1 \) and \( \alpha \) and \( \beta \) are different complex numbers, we can follow these steps: ### Step 1: Use the property of modulus We know that for any complex number \( z \), the modulus squared can be expressed as: \[ |z|^2 = z \cdot \overline{z} \] Thus, we can write: ...
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