>
KCET
>
Mathematics
List of top Mathematics Questions asked in KCET
The area of the region bounded by the line y = x +1, and the lines x = 3 and x = 5 is
KCET - 2023
KCET
Mathematics
Area between Two Curves
\(\int\sqrt{5-2x+x^2}\ dx=\)
KCET - 2023
KCET
Mathematics
Definite Integral
\(\int\limits^{\pi}_{0}\frac{x\tan x}{\sec x.\cosec x}\ dx=\)
KCET - 2023
KCET
Mathematics
Trigonometric Identities
\(\int\limits_{-2}^{0}(x^3+3x^2+3x+3+(x+1)\cos(x+1))\ dx=\)
KCET - 2023
KCET
Mathematics
Definite Integral
\(\int\frac{1}{1+3\sin^2 x+8 \cos^2 x}\ dx=\)
KCET - 2023
KCET
Mathematics
Trigonometric Identities
If f(x) and g(x) are two functions with g(x) =
\(x-\frac{1}{x}\)
and fog(x) =
\(x^3-\frac{1}{x^3}\)
then f'(x) =
KCET - 2023
KCET
Mathematics
composite of functions
\(\int\limits_{2}^{8}\frac{5^{\sqrt{10-x}}}{5^{\sqrt{x}}+5^{\sqrt{10-x}}}\ dx=\)
KCET - 2023
KCET
Mathematics
Definite Integral
A circular plate of radius 5 cm is heated. Due to expansion, its radius increases at the rate of 0.05 cm/sec. The rate at which its area is increasing when the radius is 5.2 cm is
KCET - 2023
KCET
Mathematics
Derivatives
If A =
\(\begin{bmatrix} 1 & \tan\ \alpha/2 \\ -\tan\ \alpha/2 & 1 \end{bmatrix}\)
and AB=I then B =
KCET - 2023
KCET
Mathematics
Matrices
If f(x) = 1 + nx +
\(\frac{n(n-1)}{2}x^2+\frac{n(n-1)(n-2)}{6}x^3+...+x^n\)
then f"(1) =
KCET - 2023
KCET
Mathematics
Sequence and series
If y = a sin x + b cos x, then y
2
+
\((\frac{dy}{dx})^2\)
is a
KCET - 2023
KCET
Mathematics
Trigonometric Functions
If the function of f(x) =
\(\frac{1}{x+2}\)
, then the point of discontinuity of the composite function y = f(f(x)) is
KCET - 2023
KCET
Mathematics
composite of functions
The function f(x) = cot x is discontiuous on every point of the set
KCET - 2023
KCET
Mathematics
Continuity
If
\(u=\sin^{-1}(\frac{2x}{1+x^2})\)
and
\(v=\tan^{-1}(\frac{2x}{1-x^2})\)
then
\(\frac{du}{dv}\)
is
KCET - 2023
KCET
Mathematics
Derivatives
If
\(\Delta=\begin{vmatrix} 1 & a & a^2 \\ 1 & b & b^2 \\ 1 & c & c^2 \end{vmatrix}\)
and
\(\Delta_1=\begin{vmatrix} 1 & 1 & 1 \\ bc & ca & ab \\ a & b & c \end{vmatrix}\)
then
KCET - 2023
KCET
Mathematics
Matrices
The area of a triangle with vertices(-3,0),(3, 0) and (0, k) is 9 sq.units, the value of k is
KCET - 2023
KCET
Mathematics
Coordinate Geometry
If A =
\(\begin{bmatrix} 2-k & 2 \\ 1 & 3-k \end{bmatrix}\)
is a singular matrix, then the value of 5k - k
2
is equal to
KCET - 2023
KCET
Mathematics
Matrices
If A and B are two matrices such that AB=B and BA=A then A
2
+ B
2
=
KCET - 2023
KCET
Mathematics
Matrices
If
\(x\begin{bmatrix} 3 \\ 2 \end{bmatrix}+y\begin{bmatrix} 1 \\ -1 \end{bmatrix}=\begin{bmatrix} 15 \\ 5\end{bmatrix}\)
then the value of x and y are
KCET - 2023
KCET
Mathematics
solution of system of linear inequalities in two variables
The value of
\(\cot^{-1}[\frac{\sqrt{1-\sin x}+\sqrt{1+\sin x}}{\sqrt{1-\sin x}-\sqrt{1+\sin x}}]\)
where x ∈
\((0,\frac{\pi}{4})\)
is
KCET - 2023
KCET
Mathematics
Trigonometry
The contrapositive of the statement
“If two lines do not intersect in the same plane then they are parallel.” is
KCET - 2023
KCET
Mathematics
mathematical reasoning
Let f(x) = sin 2x + cos 2x and g(x)=x
2
-1, then g(f(x)) is invertible in the domain
KCET - 2023
KCET
Mathematics
composite of functions
Let the relation R be defined in N by aRb if 3a + 2b = 27 then R is
KCET - 2023
KCET
Mathematics
Relations and Functions
Let f : R→R be defined by f(x)= 3x
2
-5 and g : R→R by g(x)=
\(\frac{x}{x^2+1}\)
then gof is
KCET - 2023
KCET
Mathematics
composite of functions
f : R → R and g : [0, ∞) → R are defined by f(x) = x
2
and g(x)=
\(\sqrt{x}\)
. Which one of the following is not true ?
KCET - 2023
KCET
Mathematics
Functions
Prev
1
...
5
6
7
8
9
...
34
Next