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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
The value of
\(\int\frac{1+x^4}{1+x^6}dx\)
is
KCET - 2020
KCET
Mathematics
Definite Integral
If f(x) =
\(\begin{vmatrix} x^3-x & a+x & b+x \\ x-a & x^2-x & c+x \\ x-b & x-c & 0 \\ \end{vmatrix}\)
then
KCET - 2020
KCET
Mathematics
Functions
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 (xe)
y
= e
x
, then
\(\frac{dy}{dx}\)
is
KCET - 2020
KCET
Mathematics
Derivatives
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
If
\(\begin{pmatrix} 2 & 1 \\ 3 & 2 \\ \end{pmatrix}A=\begin{pmatrix} 1 & 0 \\ 0 & 1 \\ \end{pmatrix}\)
, then the matrix A is
KCET - 2020
KCET
Mathematics
Matrices
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 standard deviation of the data
$6, 7, 8, 9, 10$
is
KCET - 2020
KCET
Mathematics
Variance and Standard Deviation
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
If the curves
$2x = y^2$
and
$2xy = K$
intersect perpendicularly, then the value of
$K^2$
is
KCET - 2020
KCET
Mathematics
Tangents and Normals
if
$(xe)^y = e^x$
, then
$\frac{dy}{dx}$
is =
KCET - 2020
KCET
Mathematics
Derivatives of Functions in Parametric Forms
The maximum value of
$\frac{log_ex}{x}$
, if x > 0 is
KCET - 2020
KCET
Mathematics
Maxima and Minima
If
$y = 2x^{n+1} + \frac {3}{x^n}$
,then
$x^2 \frac{d^2y}{dx^2}$
is
KCET - 2020
KCET
Mathematics
Differentiability
The value of
$\int^{\frac{1}{2}}_{-\frac{1}{2}}cos^{-1}xdx$
is
KCET - 2020
KCET
Mathematics
Definite Integral
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