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If x=(sqrt(5)+1)/(sqrt(5)-1) and y=(sqrt...

If `x=(sqrt(5)+1)/(sqrt(5)-1)` and `y=(sqrt(5)-1)/(sqrt(5)+1)`, then find the value of `(x^(2)-y^(2))`.

A

`sqrt5`

B

`2sqrt5`

C

`3sqrt5`

D

`4sqrt5`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If x=(sqrt(2)+1)/(sqrt(2)-1) and y=(sqrt(2)-1)/(sqrt(2)+1) , what is the value of (x+y) ?

    A
    `6`
    B
    `sqrt(2)`
    C
    `3`
    D
    `3sqrt(2)`

  • If x = ( sqrt5+ 1)/( sqrt 5 -1) and y (sqrt5 - 1)/( sqrt5 + 1), then value of (x ^(2) + xy + y ^(2))/( x ^(2) - xy + y ^(2))

    A
    `3/4`
    B
    `4/3`
    C
    `3/5`
    D
    `5/3`

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