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If x = (1)/( 7 - 4 sqrt3) and y = (1)/( ...

If `x = (1)/( 7 - 4 sqrt3) and y = (1)/( 7 + 4 sqrt3)` then the value of `x ^(2) + y ^(2)` is

A

193

B

194

C

195

D

196

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • If x + sqrt3 = sqrt ( 7 + 4 sqrt3) then the value of x is

    A
    `-2`
    B
    `2`
    C
    `-4`
    D
    4

  • If x = (1)/(2 + sqrt3) , y = (1)/(2 - sqrt3) then the value of (1)/(x + 1) + (1)/(y +1) is :

    A
    `1/2`
    B
    `sqrt3`
    C
    1
    D
    `1/sqrt3`

  • If x = sqrt5 + sqrt3 and y = sqrt5 - sqrt3, then the value of x ^(4) - y ^(4) is

    A
    544
    B
    `32 sqrt15`
    C
    `64 sqrt15`
    D
    384

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    If x = sqrt(3) - (1)/( sqrt(3)) and y = sqrt(3) + (1)/( sqrt(3)) then the value of (x^(2))/(y) + (y^(2))/(x) is

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    If x = 7 + 4 sqrt(3) , y = 7 - 4 sqrt(3) , find the value of (1)/(x^(2)) + (1)/(y^(2)) .

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