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If alpha and beta are different complex ...

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

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Knowledge Check

  • If alpha and beta are different complex numbers with |beta| =1 , then |(beta - alpha)/(1 - baralpha beta)| is equal to

    A
    `0`
    B
    `(1)/(2)`
    C
    1
    D
    2

  • If cos alpha cosh beta = 1, then beta =

    A
    `"log sec"alpha/2`
    B
    `"log tan "alpha`
    C
    `"log "(sec alpha + tan alpha)`
    D
    `"log sin"alpha/2`

  • IF alpha and beta are the roots of 2x^2 + x + 3=0 , then the equation whose roots are ( 1- alpha ) /( 1 + alpha ) and ( 1- beta ) /( 1 + beta ) is

    A
    `2x^2+x +3=0`
    B
    `2x^2-x-3=0`
    C
    `2x^2 +x-3=0`
    D
    `2x^2 -x-3=0`

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    If alpha , beta are complementary angles , sin alpha = 3//5 , then sin alpha cos beta - cos alpha sin beta =

    If alpha, beta are complementary angles, sin alpha = 3/5 then sin alpha cos beta - cos alpha sin beta =

    If alpha, beta are the roots of x^(2)+2x+5=0 , then the equation whose roots are (alpha+1)/(alpha), (beta+1)/(beta) is

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