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 $A_n$ is
Previous 10 Questions — NIMCET 2022
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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
The area enclosed within the curve |x|+|y|=2 is
Topic: NIMCET 2022
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…
Topic: NIMCET 2022
The function $f(x)=\log (x+\sqrt[]{{x}^2+1})$ is
Topic: NIMCET 2022
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
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
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
Area of the parallelogram formed by the
lines y=4x, y=4x+1, x+y=0 and x+y=1
Topic: NIMCET 2022
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
If ${{a}}_1,{{a}}_2,\ldots,{{a}}_n$ are any real numbers and $n$ is
any positive integer, then
Topic: NIMCET 2022
Next 10 Questions — NIMCET 2022
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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
Solutions of the equation ${\tan }^{-1}\sqrt[]{{x}^2+x}+{\sin }^{-1}\sqrt[]{{x}^2+x+1}=\frac{\pi}{2}$ are
Topic: NIMCET 2022
In a Harmonic Progression, $p^{th}$ term is $q$ and
the $q^{th}$ term is $p$. Then $pq^{th}$ term is
Topic: NIMCET 2022
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
A straight line through the point (4, 5) is
such that its intercept between the axes is
bisected at A, then its equat…
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The value of $\int \frac{({x}^2-1)}{{x}^3\sqrt[]{2{x}^4-2{x}^2+1}}dx$
Topic: NIMCET 2022
Coordinate of the focus of the parabola $4y^2+12x-20y+67=0$ is
Topic: NIMCET 2022
There are two circles in xy −plane whose
equations are $x^2+y^2-2y=0$ and $x^2+y^2-2y-3=0$. A point $(x,y)$ is
chosen…
Topic: NIMCET 2022
In a triangle ABC, if the tangent of half the difference of two angles is equal to one third of the tangent of half th…
Topic: NIMCET 2022
If $x^my^n$=$(x+y)^{m+n}$, then $\frac{dy}{dx}$ is
Topic: NIMCET 2022
