>
CUET (UG)
>
Mathematics
List of top Mathematics Questions asked in CUET (UG)
Corners points of the feasible region for an LPP are
\((1, 1)(2, 0) (3, 1)(\frac32,4)\)
and
\((0,5)\)
.Let
\(z = px + 4y\)
, be the objective function. If maximum of z occurs at
\((\frac32,4)\)
and
\((3,1)\)
,then the value of p is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Linear Programmig Problem
The lines
\(\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-K} \)
and
\(\frac{x-1}{K}=\frac{y-4}{2}=\frac{z-5}{1} \)
are coplanar if :
CUET (UG) - 2023
CUET (UG)
Mathematics
Coplanarity of Two Lines
If the planes
\(\overrightarrow{r}.(2\hat{i}-\lambda\hat{j}+3\hat{k})=0\)
and
\(\overrightarrow{r}.(\lambda\hat{i}+5\hat{j}-\hat{k})=5\)
are perpendicular to each other ,then value
\(\lambda^2+\lambda \)
is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Vector Algebra
which is the true of the following ?
(A)Any vector
\(\overrightarrow{r}\)
in space can be written as
\((\overrightarrow{r}.\hat{i})\hat{i}+(\overrightarrow{r}.\hat{j})\hat{j}+(\overrightarrow{r}.\hat{k})\hat{k}\)
(B)If
\(\overrightarrow{a}\)
is perpendicular to
\(\overrightarrow{b}\)
\(|\overrightarrow{a}+\overrightarrow{b}|^2=|\overrightarrow{a}|^2+|\overrightarrow{b}|^2\)
(C)If
\(|\overrightarrow{a}|=2,|\overrightarrow{b}|=1 \)
and
\(\overrightarrow{a}.\overrightarrow{b}=1 \)
,the value of
\((3\overrightarrow{a}-5\overrightarrow{b}).(2\overrightarrow{a}+7\overrightarrow{b})\)
ia 1
(D)
\(\overrightarrow{a}=5\hat{i}-\hat{j}-3\hat{k}\)
and
\(\overrightarrow{b}=\hat{i}+3\hat{j}-5\hat{k}\)
, is the angle between
\(\overrightarrow{a}+\overrightarrow{b}\)
and
\(\overrightarrow{a}-\overrightarrow{b}\)
is
\(60\degree\)
Choose the
correct a
nswer from the options given below:
CUET (UG) - 2023
CUET (UG)
Mathematics
Vector Algebra
A vector
\(\overrightarrow{r}\)
is inclined at equal angles to the three axes. If the magnitude of
\(\overrightarrow{r}\)
is
\(3\sqrt3\)
units, then the value of
\(\overrightarrow{r}\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Vector Algebra
Solution of a differential equation
\((1+ y2)dx=(\tan^{-1}y - x)dy\)
is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Solution of Differential Equations
The number of solutions of the equation
\(xydx— (x2-y2)dy=0\)
with
\( y(2)=3\)
is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Solution of Differential Equations
The area of the region bounded by the curve
\(y^2 = 4x\)
, y -axis and the line
\(y = 2\)
is
CUET (UG) - 2023
CUET (UG)
Mathematics
Area under Simple Curves
The ratio of areas under the curves
\(y=sinx \)
and
\(y=sin2x\)
,from
\(x=0\)
to
\( x=\frac{\pi}{3}\)
is
CUET (UG) - 2023
CUET (UG)
Mathematics
Area under Simple Curves
If
\(\int e^x(tanx+1)secxdx=e^xf(x)+C,\)
then
\(f(x)\)
is:
(A)
\(e^X\)
(B)
\(tanx\)
(C)
\(secx\)
(D)
\(secx \ tanx\)
choose the
correct
answer from the options given below
CUET (UG) - 2023
CUET (UG)
Mathematics
Integration
\(\int\limits_\frac{\pi}{6}^\frac{\pi}{3}\frac{1}{1+\sqrt{cotx}}dx=\)
CUET (UG) - 2023
CUET (UG)
Mathematics
Definite Integral
The value of C in Rolles's theorem for the function
\(f(x)=e^xsinx,x\epsilon[0,\pi]\)
,is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Relations and functions
The function
\(f(x)=sinx+cosx,0\leq x\leq 2\pi \)
is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Increasing and Decreasing Functions
If cosy = xcos(a + y), then
\(\frac{dy}{dx}\)
=
CUET (UG) - 2023
CUET (UG)
Mathematics
Derivatives
The value of C which satisfies Rolle's Theorem for f(x) = sin
4
x + cos
4
x in
\([0, \frac{π}{2}]\)
. Then C is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Integration
Angle between tangents to the curve y=x
2
-5x+6 at the points (2, 0) and (3, 0) is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Tangents and Normals
The rate of change of the area of a circular disc with respect to its circumference when radius is 3 is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Mensuration
The interval in which the
\(f(x) = sinx-cosx, 0 ≤ x ≤ 2π\)
is strictly decreasing is :
CUET (UG) - 2023
CUET (UG)
Mathematics
Increasing and Decreasing Functions
The value of
\(\int_0^3 |2x-6|dx\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Definite Integral
The integral
\(∫\frac{dx}{x^2(x^4+1)}^{\frac{3}{4}}\)
equals_____.
CUET (UG) - 2023
CUET (UG)
Mathematics
Integration
The area of the shaded portion
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Parabola
Area of the region bounded by
\(y=-1, y=2, x=y^3 \space and \space x=0\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Area under Simple Curves
The differential equation whose solution is Ax
2
+By
2
=1 where A and B are arbitrary constant is of:
(A) first order and first degree
(B) second order and first degree
(C) second order and second degree
(D) second order
Choose the correct answer from the options given below:
CUET (UG) - 2023
CUET (UG)
Mathematics
Differential Equations
Integrating factor of the differential equation
\((1-y²) \frac{dx}{dy} + xy = ay\)
is:
CUET (UG) - 2023
CUET (UG)
Mathematics
Differential Equations
Let
\(\overrightarrow a = 4\hat i -\hat j + 3\hat k\)
and
\(\overrightarrow b = -2\hat i + \hat j-2\hat k\)
. Then
(A)
\(\overrightarrow a\)
is a unit vector
(B)
\(\overrightarrow a\times \overrightarrow b=-\hat i + 2\hat j + 2\hat k\)
(C)
\(\overrightarrow a\)
and
\(\overrightarrow b\)
are parallel vectors
(D)
\(\overrightarrow a\)
and
\(\overrightarrow b\)
are neither parallel nor perpendicular vectors
Choose the correct answer from the options given below :
CUET (UG) - 2023
CUET (UG)
Mathematics
Vector Algebra
Prev
1
...
14
15
16
17
18
...
32
Next