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If x = 7 + 4 sqrt(3), y = 7 - 4 sqrt(3),...

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

A

194

B

198

C

212

D

318

Text Solution

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The correct Answer is:
A
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Knowledge Check

  • If x = 7 - 4 sqrt(3) , then the value of (x + (1)/(x)) is

    A
    `3 sqrt(3)`
    B
    `8 sqrt(3)`
    C
    `14 + 8 sqrt(3)`
    D
    14

  • If x = 7 - 4 sqrt 3 , then the value of (x + 1/x) is :

    A
    `3sqrt3`
    B
    `8 sqrt 3`
    C
    `14 + 8 sqrt3`
    D
    `14`

  • 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

    • Similar Questions

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    If x=(1)/(7+4sqrt(3)), y=(1)/(7-4sqrt(3)) , find the value of 5x^(2)-7xy-5y^(2)

    Find the value of (1)/(7)+(4)/(3)+(1)/(2)+sqrt(5)

    If x=7-4sqrt(3) then find the value of sqrt(x)+(1)/(sqrt(x))

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