List of top Mathematics Questions on Maxima and Minima asked in AP EAPCET

The maximum area of a rectangle inscribed in a circle of radius $r$ is:

The maximum value of $y = x(\log x)^2$ is:

The minimum value of the function $f(x) = x^2 + \frac{250}{x}$ for $x > 0$ is:

Two sides of a triangle are given. If the area of the triangle is maximum, then the angle between the given sides is

The maximum area of a right angled triangle with hypotenuse \(h\) is:

The value of \(a\) for which the function \[ f(x)=a\sin x+\frac{1}{3}\sin 3x \] has an extremum value at \(x=\dfrac{\pi}{3}\) is:

If \(a,b\gt 0\), then minimum value of \[ y=\frac{b^2}{a-x}+\frac{a^2}{x}, \qquad 0\lt x\lt a \] is

The point on the curve \[ y=x^2+4x+3 \] which is closest to the line \[ y=3x+2 \] is

A closed cylinder of given volume will have least surface area when the ratio of its height and base radius is

Two particles \(P\) and \(Q\) located at the points \[ P(t,t^3-16t-3),\qquad Q(t+1,t^3-6t-6) \] are moving in a plane. The minimum distance between the points in their motion is