MCA Entrance Previous Year Question Bank

A point on the parabola $y^2=18x$ at which the ordinate increases at twice the rate of the abscissa is:

If one root of the equation $x^2+px+12=0$ is $4$ and $x^2+px+q=0$ has equal roots, then the value of $q$ is:

The range of the function $f(x)={}^{7-x}{P}_{x-3}$ is:

$2C_0+\frac{2^2}{2}{C}_1+\frac{2^3}{3}{C}_2+\cdots +\frac{2^{11}}{11}{C}_{10}=$

If 0 < y < 2^{1/3} and $x(y^3-1)=1$, then $\frac{2}{x}+\frac{2}{3x^3}+\frac{2}{5x^5}+\cdots =$

Let $a$, $b$ and $c$ be such that $\frac{1}{(1-x)(1-2x)(1-3x)}=\frac{a}{1-x}+\frac{b}{1-2x}+\frac{c}{1-3x}$, then $\frac{a}{1}+\frac{b}{3}+\frac{c}{5}=$

If $f^{\prime }(x)=g(x)$ and $g^{\prime }(x)=-f(x)$ for all $x$ and $f(3)=5=f^{\prime }(3)$ then $f^{\prime \prime }(19)+g^{\prime \prime }(19)$ is:

The product of perpendiculars from $(2,-1)$ to the pair of lines $2x^2+6xy+y^2=0$ is:

Numerical value of the expression $\left|\frac{3x^3+1}{2x^2+2}\right|$ for $x=-3$ is:

Of the following sets, the one that includes all values of $x$ which will satisfy 2x - 3 > 7 - x is: