UPCET / UPSEE Optimization — practice questions
5 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice UPCET / UPSEE Optimization in the app →A rectangle is inscribed in a semicircle of radius $R$ with base on the diameter. The **maximum area** is:Find the **shortest distance** from origin to the curve $xy = 4$ (in the first quadrant):The function $f(x) = \dfrac{x}{1 + x^2}$ attains its maximum value on $[0, \infty)$ at:If $f(x) = x^x$ for $x > 0$, then $f$ has a minimum at $x = $:A wire of length $L$ is bent to form a rectangle. The **maximum area** enclosed is: