List of top Mathematics Questions asked in KCET

If $2^x+2^y = 2^{x+y}$, then $\frac {dy}{dx}$ is

If f(x) = $\sin^{-1}$ $\left(\frac{2x}{1+x^{2}}\right)$, then f' $(\sqrt{3})$ is

The value of $cos\left(\sin^{-1}\frac{\pi}{3}+\cos^{-1}\frac{\pi}{3}\right)$ is

If \(\begin{pmatrix} 2 & 1 \\ 3 & 2 \\ \end{pmatrix}A=\begin{pmatrix} 1 & 0 \\ 0 & 1 \\ \end{pmatrix}\), then the matrix A is

The order of the differential equation obtained by eliminating arbitrary constants in the family of curves $c_1y = (c_2 +c_3 )e^{x+c_4}$ is

Corner points of the feasible region determined by the system of linear constraints are $(0, 3), (1, 1)$ and $(3, 0)$. Let $z = px = qy$, where $p, q > 0$. Condition on $p$ and $q$ so that the minimum of $z$ occurs at $(3, 0)$ and $(1, 1)$ is

If a line makes an angle of $\pi/3$ with each of $x$ and and $y$-axis, then the acute angle made by $z$-axis is

If the curves $2x = y^2$ and $2xy = K$ intersect perpendicularly, then the value of $K^2$ is

The standard deviation of the data $6, 7, 8, 9, 10$ is

If the side of a cube is increased by 5%, then the surface area of a cube is increased by

The distance of the point (1, 2, -4) from the line $\frac{x-3}{2} = \frac {y-3}{3} = \frac {z+5}{6}$ is

The maximum value of $\frac{log_ex}{x}$, if x > 0 is

if $(xe)^y = e^x$, then $\frac{dy}{dx}$ is =

If $y = 2x^{n+1} + \frac {3}{x^n}$ ,then $x^2 \frac{d^2y}{dx^2}$ is

The feasible region of an LPP is shown in the figure. If $Z = 11x + 7y$, then the maximum value of $Z$ occurs at

The value of $\int^{\frac{1}{2}}_{-\frac{1}{2}}cos^{-1}xdx$ is

The general solution of the differential equation $x^2dy - 2xydx = x^4\cos\,x\, dx$ is

The value of $\,^{16}C_9 + \,^{16}C_{10} -\,^{16}C_6 -\,^{16}C_7$ is

Events $E_1$ and $E_2$ from a partition of the sample space S. A is any event such that $P(E_1) = P(E_2) = \frac{1}{2}, P(E_2/A) = \frac{1}{2}$ and $P(A/E_2)=\frac{2}{3}$, then $P(E_1/A) $ is

If $A = \{a,b,c\}$, then the number of binary operations on $A$ is

The area of the region bounded by the line $y = 2x + 1$, $x $ - axis and the ordinates $x = -1$ and $x = 1$ is

If A = {a, b, c}, then the number of binary operations on A is

The probability of solving a problem by three persons $A, B$ and $C$ independently is $\frac{1}{2}$, $\frac{1}{4}$ and $\frac{1}{3}$ respectively. Then the probability of the problem is solved by any two of them is

If the parabola $x^2=4ay$ passes through the point $(2, 1)$, then the length of the latus rectum is

If A = {1,2,3,4,5,6}, then the number of subsets of A which contain at least two elements is