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Question: p, q be positive and real numbers, p<sup>2</sup> + q<sup>2</sup> = 1then maximum value of p + q is –...

p, q be positive and real numbers, p2 + q2 = 1then maximum value of p + q is –

A

1

B

1/21 / \sqrt { 2 }

C

2\sqrt { 2 }

D

) None of these

Answer

2\sqrt { 2 }

Explanation

Solution

p + q = = 1+2⋅12\sqrt { 1 + 2 \cdot \frac { 1 } { 2 } }= 2\sqrt { 2 }

as maximum value of pq = ½