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If (1-ix)/(1+ix)=a-ibanda^(2)+b^(2)=1,wh...

If `(1-ix)/(1+ix)=a-ibanda^(2)+b^(2)=1,where` `a,b in Randi=sqrt(-1),` then x is equal to

A

`(2a)/((1+a)^(2)+b^(2))`

B

`(2b)/((1+a)^(2)+b^(2))`

C

`(2a)/((1+b)^(2)+a^(2))`

D

`(2b)/((1+b)^(2)+a^(2))`

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Knowledge Check

  • int sqrt(1+x^(2))dx is equal to

    A
    `(x)/(2) sqrt(1+x^(2)) +(1)/(2) log|x+sqrt(1+x^(2))|+c`
    B
    `(2)/(3) (1+x^(2))^(3//2)+c`
    C
    `(2)/(3)x(1+x^(2))^(3//2)+c`
    D
    `(x^(2))/(2) sqrt(1+x^(2))+(1)/(2) x^(2)log|x+sqrt(1+x^(2))|+c`

  • int sqrt(1+x^(2))dx is equal to

    A
    `(x)/(2) sqrt(1+x^(2)) +(1)/(2) log|x+sqrt(1+x^(2))|+c`
    B
    `(2)/(3) (1+x^(2))^(3//2)+c`
    C
    `(2)/(3)x(1+x^(2))^(3//2)+c`
    D
    `(x^(2))/(2) sqrt(1+x^(2))+(1)/(2) x^(2)log|x+sqrt(1+x^(2))|+c`

  • int(dx)/sqrt(1-x^(2)) is equal to :

    A
    `tan^(-1)x+c`
    B
    `sin^(-1)x+c`
    C
    `cos^(-1)x+c`
    D
    `cot^(-1)x+c`

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