MCA Entrance Previous Year Question Bank

If slope of common tangent to curves $4x^2+9y^2=36$ and 4$x^2$+ 4$y^2$= 31 is m, then $m^2$ is equal to:

From the point A(3,2) a line is drawn to any point on the circle $x^2+y^2=1.$If locus of midpoint of this line seqment is a circle, then its radius is

If a triangle is inscribed in a circle of radius r, then which of the following triangle can have maximum area:

Find the area bounded by the curve y $=||x-1|-2|$ with X-axis

If $x^3-2x^2+2x-1=0$ has roots (α,β,γ) then find $({\alpha }^{162}+{\beta }^{162}+{\gamma }^{162})$

If'x is a number divided by'4,leaves the remainder '3', then find the remainder if (2020 +x)${}^{2022}$ is divided by'8'

Minimum value of a^{a^x}+\frac a{a^{a^x}} \mathfrak{a}>\mathcal{O};\mathfrak{a},\mathfrak{x}\in\mathbb{R})

Find the number of points, where $f(x)=|2x+1|-3\mid x+2\mid +\mid x^2+x-2\mid$ is non differentiable at