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Mathematics
List of top Mathematics Questions asked in KCET
The standard deviation of the data
$6, 7, 8, 9, 10$
is
KCET - 2020
KCET
Mathematics
Variance and Standard Deviation
The maximum value of
$\frac{log_ex}{x}$
, if x > 0 is
KCET - 2020
KCET
Mathematics
Maxima and Minima
if
$(xe)^y = e^x$
, then
$\frac{dy}{dx}$
is =
KCET - 2020
KCET
Mathematics
Derivatives of Functions in Parametric Forms
If
$y = 2x^{n+1} + \frac {3}{x^n}$
,then
$x^2 \frac{d^2y}{dx^2}$
is
KCET - 2020
KCET
Mathematics
Differentiability
The feasible region of an LPP is shown in the figure. If
$Z = 11x + 7y$
, then the maximum value of
$Z$
occurs at
KCET - 2020
KCET
Mathematics
Linear Programming Problem and its Mathematical Formulation
The value of
$\int^{\frac{1}{2}}_{-\frac{1}{2}}cos^{-1}xdx$
is
KCET - 2020
KCET
Mathematics
Definite Integral
The value of
$\,^{16}C_9 + \,^{16}C_{10} -\,^{16}C_6 -\,^{16}C_7$
is
KCET - 2020
KCET
Mathematics
Combinations
The general solution of the differential equation
$x^2dy - 2xydx = x^4\cos\,x\, dx$
is
KCET - 2020
KCET
Mathematics
homogeneous differential equation
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
KCET - 2020
KCET
Mathematics
Bayes' Theorem
If
$A = \{a,b,c\}$
, then the number of binary operations on
$A$
is
KCET - 2020
KCET
Mathematics
Binary operations
The area of the region bounded by the line
$y = 2x + 1$
,
$x $
- axis and the ordinates
$x = -1$
and
$x = 1$
is
KCET - 2020
KCET
Mathematics
Area under Simple Curves
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
KCET - 2020
KCET
Mathematics
binomial distribution
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
If A = {1,2,3,4,5,6}, then the number of subsets of A which contain at least two elements is
KCET - 2020
KCET
Mathematics
Sets
The value of
$\sin^2 51^\circ + \sin^2 39^\circ$
is
KCET - 2020
KCET
Mathematics
Trigonometric Functions
If A and B are two events such that P(A) =
\(\frac{1}{3}\)
, P(B) =
\(\frac{1}{2}\)
and P(A ∩ B) =
\(\frac{1}{6}\)
, then P(A'/B) is
KCET - 2020
KCET
Mathematics
Conditional Probability
The two lines
$l x+my=n$
and
$l'x+m'y=n'$
are perpendicular if
KCET - 2020
KCET
Mathematics
Slope of a line
$\displaystyle \lim_{x\to0}\left(\frac{\tan \,x}{\sqrt{2x +4} - 2}\right)$
is equal to
KCET - 2020
KCET
Mathematics
limits of trigonometric functions
If the value of a third order determinant is
$16$
, then the value of the determinant formed by replacing each of its elements by its cofactor is
KCET - 2019
KCET
Mathematics
Determinants
The equation of the curve passing through the point (1, 1) such that the slope of the tangent at any point (x, y) is equal to the product of its co-ordinates is
KCET - 2019
KCET
Mathematics
Differential equations
The third term of a G.P. is 9. The product of its first five terms is
KCET - 2019
KCET
Mathematics
Geometric Progression
A man speaks truth 2 out of 3 times. He picks one of the natural numbers in the set S = {1, 2, 3, 4, 5, 6, 7} and reports that it is even. The probability that it is actually even is
KCET - 2019
KCET
Mathematics
Probability
If cos x = |sin x| then, the general solution is
KCET - 2019
KCET
Mathematics
Trigonometric Functions
If
$A = \{ x | x \in N, x \le 5 \}, B = \{ x | x \in Z, x^2 - 5x + 6 = 0\}$
, then the number of onto functions from A to B is
KCET - 2019
KCET
Mathematics
Relations and functions
$\sqrt{3}\, cosec \,20^{\circ} - \sec\, 20^{\circ}$
=
KCET - 2019
KCET
Mathematics
Trigonometric Functions
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