Previous 10 Questions — NIMCET 2023
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If a, b, c, d are in HP and arithmetic mean of ab, bc, cd is 9 then which of the following number is the value of ad?
Topic: NIMCET 2023
Let A and B be sets. $A\cap X=B\cap X=\phi$ and $A\cup X=B\cup X$ for some set X, relation between A & B
Topic: NIMCET 2023
Let $\vec{A} = 2\hat{i} + \hat{j} – 2\hat{k}$ and $\vec{B} = \hat{i} + \hat{j}$, If $\vec{C}$ is a vector such that $|\…
Topic: NIMCET 2023
If $\overrightarrow{{a}}$ and $\overrightarrow{{b}}$ are vectors in space, given by $\overrightarrow{{a}}=\frac{\hat{i}…
Topic: NIMCET 2023
A speaks truth in 60% and B speaks the truth in 50% cases. In what percentage of cases they are likely incontradict eac…
Topic: NIMCET 2023
If $\prod ^n_{i=1}\tan ({{\alpha}}_i)=1\, \forall{{\alpha}}_i\, \in\Bigg{[}0,\, \frac{\pi}{2}\Bigg{]}$ where i=1,2,3,..…
Topic: NIMCET 2023
The equation of the tangent at any point of curve $x=a cos2t, y=2\sqrt{2} a sint$ with $m$ as its slope is
Topic: NIMCET 2023
The value of $\int ^{\pi/3}_{-\pi/3}\frac{x\sin x}{{\cos }^2x}dx$ is
Topic: NIMCET 2023
If $f(x)=\lim _{{x}\rightarrow0}\, \frac{{6}^x-{3}^x-{2}^x+1}{\log _e9(1-\cos x)}$ is a real number then $\lim _{{…
Topic: NIMCET 2023
The sum of infinite terms of decreasing GP is equal to the greatest value of the function $f(x) = x^3
+ 3x – 9$ in the…
Topic: NIMCET 2023
Next 10 Questions — NIMCET 2023
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The locus of the mid-point of all chords of the parabola $y^2 = 4x$ which are drawn through its vertex is
Topic: NIMCET 2023
If $\vec{a}=\hat{i}-\hat{k}$, $\vec{b}=x\hat{i}+\hat{j}+(1-x)\hat{k}$ and $\vec{c}=y\hat{i}+x\hat{j}+(1+x-y)\hat{k}$, t…
Topic: NIMCET 2023
If $\vec{a}, \vec{b}$ are unit vectors such that $2\vec{a}+\vec{b} =3$ then which of the following statement is true?
Topic: NIMCET 2023
$\int f(x)\mathrm{d}x=g(x)$, then $\int {x}^5f({x}^3)\mathrm{d}x$
Topic: NIMCET 2023
$\lim _{{x}\rightarrow1}\frac{{x}^4-1}{x-1}=\lim _{{x}\rightarrow k}\frac{{x}^3-{k}^2}{{x}^2-{k}^2}=$, then find k
Topic: NIMCET 2023
The graph of function $f(x)=\log _e({x}^3+\sqrt[]{{x}^6+1})$ is symmetric about:
Topic: NIMCET 2023
If the equation $|x^2 – 6x + 8| = a$ has four real solution then find the value of $a$?
Topic: NIMCET 2023
Largest value of $cos^2\theta -6sin\theta cos\theta+3sin^2\theta+2 $ is
Topic: NIMCET 2023
Given to events A and B such that odd in favour A are 2 : 1 and odd in favour of $A \cup B$ are 3 : 1. Consistent with …
Topic: NIMCET 2023
If A and B are square matrices such that $B=-A^{-1} BA$, then $(A + B)^2$ is
Topic: NIMCET 2023
