The mean of 25 observations was found to be 38. It was later discovered that 23 and 38 were misread as 25 and 36, then the mean is

1

The function $f(x)=\log (x+\sqrt[]{{x}^2+1})$ is

Topic: NIMCET 2022

2

If $\vec{a}=\lambda \hat{i}+\hat{j}-2\hat{k}$ , $\vec{b}=\hat{i}+\lambda \hat{j}-2\hat{k}$ and $\vec{c}=\hat{i}+\hat{j}…

Topic: NIMCET 2022

3

For $a\in R$ (the set of al real numbers), $a \ne 1$, $\lim _{{n}\rightarrow\infty}\frac{({1}^a+{2}^a+{\ldots+{n}^a})}{…

Topic: NIMCET 2022

4

A four-digit number is formed using the digits 1, 2, 3, 4, 5 without repetition. The probability that is divisible by…

Topic: NIMCET 2022

5

Area of the parallelogram formed by the lines y=4x, y=4x+1, x+y=0 and x+y=1

Topic: NIMCET 2022

6

If $D={\begin{vmatrix}{1} & 1 & {1} \\ 1 & {2+x} & {1} \\ {1} & {1} & {2+y}\end{vmatrix}}\, for\, x\ne0,\, y\ne0$ then …

Topic: NIMCET 2022

7

If ${{a}}_1,{{a}}_2,\ldots,{{a}}_n$ are any real numbers and $n$ is any positive integer, then

Topic: NIMCET 2022

8

$f(x)=x+|x|$ is continuous for

Topic: NIMCET 2022

9

Which of the following is NOT true?

Topic: NIMCET 2022

10

If $0{\lt}P(A){\lt}1$ and $0{\lt}P(B){\lt}1$ and $P(A\cap B)=P(A)P(B)$, then

Topic: NIMCET 2022

1

The area enclosed within the curve |x|+|y|=2 is

Topic: NIMCET 2022

2

If ${\Bigg{(}\frac{x}{a}\Bigg{)}}^2+{\Bigg{(}\frac{y}{b}\Bigg{)}}^2=1$, $(a{\gt}b)$ and ${x}^2-{y}^2={c}^2$ cut at righ…

Topic: NIMCET 2022

3

If $\alpha , \beta$ are the roots of $x^2-x-1=0$ and $A_n=\alpha^n+\beta^n$, the Arithmetic mean of $A_{n-1}$ and $A_n$…

Topic: NIMCET 2022

4

If $a_1, a_2, a_3,...a_n$, are in Arithmetic Progression with common difference d, then the sum $(sind) (cosec a_1 . c…

Topic: NIMCET 2022

5

Solutions of the equation ${\tan }^{-1}\sqrt[]{{x}^2+x}+{\sin }^{-1}\sqrt[]{{x}^2+x+1}=\frac{\pi}{2}$ are

Topic: NIMCET 2022

6

In a Harmonic Progression, $p^{th}$ term is $q$ and the $q^{th}$ term is $p$. Then $pq^{th}$ term is

Topic: NIMCET 2022

7

If the roots of the quadratic equation $x^2+px+q=0$ are tan 30° and tan 15° respectively, then the value of 2 + p - q …

Topic: NIMCET 2022

8

A straight line through the point (4, 5) is such that its intercept between the axes is bisected at A, then its equat…

Topic: NIMCET 2022

9

The value of $\int \frac{({x}^2-1)}{{x}^3\sqrt[]{2{x}^4-2{x}^2+1}}dx$

Topic: NIMCET 2022

10

Coordinate of the focus of the parabola $4y^2+12x-20y+67=0$ is

Topic: NIMCET 2022