List of top Mathematics Questions asked in COMEDK UGET

The number of integral values of k for which the equation $7 \cos x + 5 \sin x = 2k + 1$ has solution is
The shortest distance from the point $(3, 0)$ to the parabola $y = x^2$ is.
If $x$ and $y$ are two real numbers such that $x + y = 1$ and $x^3 + y^3 = 4,$ then $x^5 + y^5$ is
Of all open tanks in the form of a rectangular parallelopiped with a square.base having a fixed volume, the one that has the least inner surface area has the property that its
If the greatest angle of a cyclic quadrilateral is 3 times the least angle, then the radian measure of the least angle is
If $x$ and $y$ are related by the relation$x^2 - ax+ y^2 = 0$, then $d^2y/dx^2$ is equal to
The maximum area of a rectangle which can be inscribed in an ellipse $\frac{x^2}{a^2} + \frac{y^2}{b^2} = 1$ is