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If p and q are positive real numbers suc...

If `p` and `q` are positive real numbers such that `p^2+q^2=1` then find the maximum value of `(p+q)`

A

2

B

`(1)/(2)`

C

`(1)/(sqrt2)`

D

`sqrt2`

Text Solution

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The correct Answer is:
D
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Knowledge Check

  • If p and q are positive real numbers such that p^2+q^2=1 , then the maximum value of p+q is

    A
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    B
    `sqrt2`
    C
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    `root6(9)`
    C
    `root2(9)`
    D
    `root8(9)`

  • If p and q are positive numbers other than 1, then the least value of |log_(q)p+log_(p)q| is ______.

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