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

  • A
    $2$
  • B
    $1/2$
  • C
    $\frac{1}{\sqrt{2}}$
  • D
    $\sqrt{2}$

Explore More

Similar Questions

The maximum value of $\sin \left( x + \frac{\pi}{6} \right) + \cos \left( x + \frac{\pi}{6} \right)$ in the interval $\left( 0, \frac{\pi}{2} \right)$ is attained at

If $P+Q+R=\frac{\pi}{4}$,then $\cos \left(\frac{\pi}{8}-P\right)+\cos \left(\frac{\pi}{8}-Q\right)+\cos \left(\frac{\pi}{8}-R\right)=$

What is the maximum value of the function $f(x) = \sin x + \cos x$?

If $A = \sin^2 \theta + \cos^4 \theta$,then for all values of $\theta$,$A$ lies in the interval

If $A = \sin^2 x + \cos^4 x$,then for all real $x :$

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo