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If G be the GM between x and y, then the...

If G be the GM between x and y, then the value of `(1)/(G^(2) - x^(2)) + (1)/(G^(2) - y^(2))` is equal to

A

`G^(2)`

B

`(2)/(G^(2))`

C

`(1)/(G^(2))`

D

`3G^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • If A_(1),A_(2) are two A.M.'s and G_(1),G_(2) be two G.M.'s between two positive numbers a and b, then (A_(1)+A_(2))/(G_(1)G_(2)) is equal to (i) (a+b)/(ab) (ii) (a+b)/2 (iii) (a+)/(a-b) (iv) None of these

    A
    `(a+b)/(ab)`
    B
    `(a+b)/2`
    C
    `(a+)/(a-b)`
    D
    None of these

  • If g(x-1) = x^(2)+2 , then g(x)=

    A
    `x^(2)-2x + 3`
    B
    `x^(2) + 2x +3`
    C
    `x^(2)-3x+2`
    D
    `x^(2)+2`

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