| LIST I | LIST II | ||
|---|---|---|---|
| A. | $\displaystyle \lim_{x\to0}\left(\dfrac{\sin x}{x}\right)^{\frac{\sin x}{x-\sin x}}$ | I. | $e^3$ |
| B. | $\displaystyle \lim_{x\to0}\dfrac{\int_0^x \sin^2 t\,dt}{x^2}$ | II. | $0$ |
| C. | $\displaystyle \lim_{x\to0}(e^{2x}+x)^{1/x}$ | III. | $1$ |
| D. | $\displaystyle \lim_{x\to a}\dfrac{\log(x-a)}{e^x-e^a}$ | IV. | $e^{-1}$ |
Previous 10 Questions — CUET 2023
Nearest first
1
2
3
4
5
6
7
8
9
10
LIST I LIST II A. No. of triangles formed using 5 points on a line and 3 points on a parallel line I. 20 B. No. of …
Topic: CUET 2023
For $0
Topic: CUET 2023
List I List II A. Addition Theorem of Probability I. $P\!\left(\dfrac{E_i}{A}\right)=\dfrac{P(E_i)P(A/E_i)}{\sum_{i=1…
Topic: CUET 2023
Each of the angle between vectors $\vec a$, $\vec b$ and $\vec c$ is equal to $60^\circ$.
If $|\vec a|=4$, $|\vec b|=2$…
Topic: CUET 2023
The top of a hill observed from the top and bottom of a building of height $h$ is at angles of elevation $p$ and $q$ re…
Topic: CUET 2023
If every pair from among the equations
$x^2 + px + qr = 0$,
$x^2 + qx + rp = 0$ and
$x^2 + rx + pq = 0$
has a common r…
Topic: CUET 2023
The point(s) at which the function $f$ given by
$f(x)=\begin{cases}
\dfrac{x}{|x|}, & x
Topic: CUET 2023
Given below are two statements:Statement I:$\displaystyle \int_{-a}^{a} f(x),dx = \int_{0}^{a} [f(x)+f(-x)],dx$Statemen…
Topic: CUET 2023
A circle $S$ passes through the point $(0,1)$ and is orthogonal to the circles
$(x-1)^2 + y^2 = 16$ and $x^2 + y^2 = 1$…
Topic: CUET 2023
If $w, x, y, z$ are Boolean variables, then which of the following is incorrect?
Topic: CUET 2023
Next 10 Questions — CUET 2023
Ascending by ID
1
2
3
4
5
6
7
8
9
10
LIST I LIST II A. $8 : 81 :: 64 :\ ?$ I. 290 B. $182 : ? :: 210 : 380$ II. 132 C. $42 : 56 :: 110 :\ ?$ III. 342 …
Topic: CUET 2023
Which of the following is trueA. If $a\cos A=b\cos B$, then the triangle is isosceles or right angled.B. If in a triang…
Topic: CUET 2023
Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.Assertion A:If do…
Topic: CUET 2023
If $A,B,C$ are any three sets, then(A) $A-(B\cap C)=(A\cap B)-(A\cap C)$(B) $A-(B\cup C)=(A-B)\cap(A-C)$(C) $n(A-B)=n(A…
Topic: CUET 2023
LIST I LIST II A. $|\vec A+\vec B|=|\vec A-\vec B|$ I. $45^\circ$ B. $|\vec A\times\vec B|=\vec A\cdot\vec B$ II. $…
Topic: CUET 2023
If $x,y,z$ are all distinct and
$\left|
\begin{array}{ccc}
x & x^2 & 1+x^3 \\
y & y^2 & 1+y^3 \\
z & z^2 & 1+z^3
\en…
Topic: CUET 2023
These are eight members in the family. Bravo and Priya are siblings. Angel is Kajal’s grand daughter, Kajal who
is Priy…
Topic: CUET 2023
Find out the trend and choose the missing character from given alternative.
Topic: CUET 2023
The number of possible Boolean functions that can be defined for $n$ Boolean variables over $n$-valued Boolean algebra …
Topic: CUET 2023
The tangent to the hyperbola $x^2-y^2=3$ are parallel to the straight line $2x+y+8=0$ at the following points:
Topic: CUET 2023
