MCA Entrance Previous Year Question Bank

A function $f:(0,\pi )\to R$ defined by $f(x)=2\sin x+\cos 2x$ has:

If the real number $x$ when added to its inverse gives the minimum value of the sum, then the value of $x$ is equal to:

The point on the curve $y=6x-x^2$, where the tangent is parallel to $X$-axis is:

If $y=a\log x+b{x}^2+x$ has its extremum value at $x=-1$ and $x=2$, then:

The minimum value of the function $y=2x^3-21x^2+36x-20$ is:

Find the point at which the tangent to the curve $y=\sqrt{4x-3}-1$ has its slope $\frac{2}{3}$

The maximum value of $f(x)=(x-1{)}^2(x+1{)}^3$ is equal to $\frac{2^p{3}^q}{3125}$ then the ordered pair of $(p,q)$ will be

Between any two real roots of the equation $e^x\sin x=1$, the equation $e^x\cos x=-1$ has:

If the line $a^{2}x+ay+1=0$, for some real number $a$, is normal to the curve $xy=1$, then

Consider the function $f(x)=x^{2/3}(6-x{)}^{1/3}$. Which of the following statement is FALSE?