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Mathematics
List of top Mathematics Questions asked in KCET
If a relation R on the set {1, 2, 3} be defined by R = {(1, 1)}, then R is
KCET - 2020
KCET
Mathematics
Relations and functions
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
KCET - 2020
KCET
Mathematics
Probability
The standard deviation of the data 6, 7, 8, 9, 10 is
KCET - 2020
KCET
Mathematics
Measures of Dispersion
The negation of the statement “For all real numbers x and y, x + y = y + x” is
KCET - 2020
KCET
Mathematics
Real Numbers
\(\lim\limits_{x\rightarrow0}(\frac{\tan x}{\sqrt{2x+4}-2})\)
is equal to
KCET - 2020
KCET
Mathematics
limits of trigonometric functions
If the parabola x
2
= 4ay passes through the point (2, 1), then the length of the latus rectum is
KCET - 2020
KCET
Mathematics
Parabola
The two lines lx + my = n and l'x + m'y = n' are perpendicular if
KCET - 2020
KCET
Mathematics
Coordinate Geometry
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
KCET - 2020
KCET
Mathematics
Arithmetic Progression
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
KCET - 2020
KCET
Mathematics
Arithmetic Progression
If a relation R on the set {1, 2, 3} be defined by R={(1, 1)}, then R is
KCET - 2020
KCET
Mathematics
Relations
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?
KCET - 2020
KCET
Mathematics
Addition of Vectors
The negation of the statement "For all real numbers x and y, x + y = y + x" is
KCET - 2020
KCET
Mathematics
validating statements
If
$n(A) = 2$
and total number of possible relations from Set
$A$
to set
$B$
is
$1024$
, then
$n(B)$
is
KCET - 2020
KCET
Mathematics
Relations
If
$|tan \,A + \cot \,A = 2$
, then the value of
$\tan^4 A + \cot^ 4 A = $
KCET - 2020
KCET
Mathematics
Trigonometric Functions
The right hand and left hand limit of the function are respectively
KCET - 2020
KCET
Mathematics
Limits
If z=x+iy, then the equation |z+1|=|z-1| represents
KCET - 2020
KCET
Mathematics
complex numbers
If
$2^x+2^y = 2^{x+y}$
, then
$\frac {dy}{dx}$
is
KCET - 2020
KCET
Mathematics
Differentiability
If f(x) =
$\sin^{-1}$
$\left(\frac{2x}{1+x^{2}}\right)$
, then f'
$(\sqrt{3})$
is
KCET - 2020
KCET
Mathematics
Functions
The value of
$cos\left(\sin^{-1}\frac{\pi}{3}+\cos^{-1}\frac{\pi}{3}\right)$
is
KCET - 2020
KCET
Mathematics
Properties of Inverse Trigonometric Functions
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
KCET - 2020
KCET
Mathematics
Order and Degree of Differential Equation
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
KCET - 2020
KCET
Mathematics
Linear Programming Problem and its Mathematical Formulation
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
KCET - 2020
KCET
Mathematics
x-intercepts and y-intercepts
The distance of the point (1, 2, -4) from the line
$\frac{x-3}{2} = \frac {y-3}{3} = \frac {z+5}{6}$
is
KCET - 2020
KCET
Mathematics
Distance of a Point From a Line
If the side of a cube is increased by 5%, then the surface area of a cube is increased by
KCET - 2020
KCET
Mathematics
Continuity and differentiability
The standard deviation of the data
$6, 7, 8, 9, 10$
is
KCET - 2020
KCET
Mathematics
Variance and Standard Deviation
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