List of top Mathematics Questions asked in KCET

Let f : [2, ∞) → R be the function defined by f(x) = x² - 4x + 5 , then the range of f is

If a relation R on the set {1, 2, 3} be defined by R = {(1, 1)}, then R is

If A, B, C are three mutually exclusive and exhaustive events of an experiment such that P(A) = 2P(B) = 3P(C),then P(B) is equal to

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

The negation of the statement “For all real numbers x and y, x + y = y + x” is

\(\lim\limits_{x\rightarrow0}(\frac{\tan x}{\sqrt{2x+4}-2})\) is equal to

If the parabola x² = 4ay passes through the point (2, 1), then the length of the latus rectum is

The two lines lx + my = n and l'x + m'y = n' are perpendicular if

If the sum of n terms of an A.P is given by S_n = n² + n, then the common difference of the A.P is

If the sum of n terms of an A.P is given by $S_n = n^2 + n$, then the common difference of the A.P is

If a relation R on the set {1, 2, 3} be defined by R={(1, 1)}, then R is

Rain is falling vertically with a speed of $12 \,ms^{-1}$. A woman rides a bicycles with a speed of $12 \,ms^{-1}$ in east to west direction. What is the direction in which she should hold her umbrella?

The negation of the statement "For all real numbers x and y, x + y = y + x" is

If $n(A) = 2$ and total number of possible relations from Set $A$ to set $B$ is $1024$, then $n(B)$ is

If $|tan \,A + \cot \,A = 2$, then the value of $\tan^4 A + \cot^ 4 A = $

The right hand and left hand limit of the function are respectively

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

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

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

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

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