How much work does it take to slide a crate for a distance of 25m along a loading dock by pulling on it with a 180 N force where the dock is at an angle of $45°$ from the horizontal?
Previous 10 Questions — NIMCET 2024
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The points (1,1/2) and (3,-1/2) are
Topic: NIMCET 2024
The equation $3x^2 + 10xy + 11y^2 + 14x + 12y + 5 = 0$ represents
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If one AM (Arithmetic mean) 'a' and two GM's (Geometric means) p and q be inserted between any two positive numbers, th…
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Consider the function $$f(x)=\begin{cases}{-{x}^3+3{x}^2+1,} & {if\, x\leq2} \\ {\cos x,} & {if\, 2{\lt}x\…
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The value of ${{Lt}}_{x\rightarrow0}\frac{{e}^x-{e}^{-x}-2x}{1-\cos x}$ is equal to
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Consider the function $f(x)={x}^{2/3}{(6-x)}^{1/3}$. Which of the following statement is false?
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A coin is thrown 8 number of times. What is the probability of getting a head in an odd
number of throw?
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Let $f(x)=\begin{cases}{{x}^2\sin \frac{1}{x}} & {,\, x\ne0} \\ {0} & {,x=0}\end{cases}$Then which of the …
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Given a set A with median $m_1 = 2$ and set B with median $m_2 = 4$What can we say about the median of the combined set?
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The value of $f(1)$ for $f\Bigg{(}\frac{1-x}{1+x}\Bigg{)}=x+2$ is
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Next 10 Questions — NIMCET 2024
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The vector $\vec{A}=(2x+1)\hat{i}+(x^2-6y)\hat{j}+(xy^2+3z)\hat{k}$ is a
Topic: NIMCET 2024
Region R is defined as region in first quadrant satisfying the condition $x^2 + y^2 < 4$. Given that a point P=(r,s)…
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Lines $L_1, L_2, .., L_10 $are distinct among which the lines $L_2, L_4, L_6, L_8, L_{10}$ are
parallel to each other a…
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If the line $a^2 x + ay +1=0$, for some real number $a$, is normal to the curve $xy=1$
then
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Out of a group of 50 students taking examinations in Mathematics, Physics, and
Chemistry, 37 students passed Mathematic…
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Let $f\colon\mathbb{R}\rightarrow\mathbb{R}$ be a function such that $f(0)=\frac{1}{\pi}$ and $f(x)=\frac{x}{e^{\p…
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If f(x)=cos[$\pi$^2]x+cos[-$\pi$^2]x, where [.] stands for greatest integer function, then $f(\pi/2)$=
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If three distinct numbers are chosen randomly from the first 100 natural numbers, then
the probability that all three o…
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It is given that the mean, median and mode of a data set is $1, 3^x$ and $9^x$ respectively. The possible values of the…
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The value of the series $\frac{2}{3!}+\frac{4}{5!}+\frac{6}{7!}+\cdots$ is
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