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If x gt 0, y gt 0 then minimum value of ...

If `x gt 0, y gt 0` then minimum value of `(x+y)(1/x+ 1/y)` is

A

10

B

6

C

4

D

8

Text Solution

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The correct Answer is:
C
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Knowledge Check

  • If x gt 0 and xy =1 , the minimum value of (x + y) is

    A
    `-2`
    B
    1
    C
    2
    D
    none of these

  • If x^(2) + y^(2) = 29 and xy = 10 where x gt 0, y gt 0, x gt y then the value of ( x + y)/( x - y) is

    A
    `(-7)/(3)`
    B
    `(7)/(3)`
    C
    `(3)/(7)`
    D
    `(-3)/(7)`

  • If x ^(2) + y ^(2) = 29 and xy =10, where x gt 0, y gt 0, x gt y then the value of (x + y)/(x -y) is

    A
    `-7//3`
    B
    `7//3`
    C
    `3//7`
    D
    `-3//7`

    • Similar Questions

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    For any x, y in R, x y gt 0 then the minimum value of. (2 x)/(y^3)+(x^3 y)/(3)+(4 y^2)/(9 x^4) equals

    If x gt y gt 0 , then find the value of tan^(-1).(x)/(y) + tan^(-1) [(x + y)/(x -y)]

    If 4x^(2) + y^(2) = 40 and xy = 6, (x gt , y gt 0) then the value of 2x + y is

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    If xyz = 1 and x, y, z gt 0 then the minimum value of the expression (x+2y)(y+2z)(z+2x) is

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