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If p and q are positive real numbers such that `p^2+""q^2=""1` , then the maximum value of `(p""+""q)` is (1) 2 (2) 1/2 (3) `1/(sqrt(2))` (4) `sqrt(2)`

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To find the maximum value of \( p + q \) given that \( p^2 + q^2 = 1 \), we can follow these steps: ### Step 1: Express \( q \) in terms of \( p \) From the equation \( p^2 + q^2 = 1 \), we can express \( q \) as: \[ q = \sqrt{1 - p^2} \] ...
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Knowledge Check

  • If p^2 + q^2 + r^2 - 1 then the maximum value of pqr is :

    A
    1
    B
    `1/3sqrt3`
    C
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    3

  • If P = 9 , Q = sqrt17 then the valur of ( p ^(2) - q ^(2)) ^( 1//3) is equal to

    A
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    C
    3
    D
    `1//3`

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