Previous 10 Questions — NIMCET 2023
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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
Largest value of $cos^2\theta -6sin\theta cos\theta+3sin^2\theta+2 $ is
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If the equation $|x^2 – 6x + 8| = a$ has four real solution then find the value of $a$?
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The graph of function $f(x)=\log _e({x}^3+\sqrt[]{{x}^6+1})$ is symmetric about:
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$\lim _{{x}\rightarrow1}\frac{{x}^4-1}{x-1}=\lim _{{x}\rightarrow k}\frac{{x}^3-{k}^2}{{x}^2-{k}^2}=$, then find k
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$\int f(x)\mathrm{d}x=g(x)$, then $\int {x}^5f({x}^3)\mathrm{d}x$
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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
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…
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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
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Find foci of the equation $x^2 + 2x – 4y^2 + 8y – 7 = 0$
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Next 10 Questions — NIMCET 2023
Ascending by ID
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A bag contain different kind of balls in which 5 yellow, 4 black & 3 green balls. If 3 balls are drawn at random th…
Topic: NIMCET 2023
Between any two real roots of the equation $e^x sin x = 1$, the equation $e^x cos x = –1$ has
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If f(x) is a polynomial of degree 4, f(n) = n + 1 & f(0) = 25, then find f(5) = ?
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The maximum value of $f(x) = (x – 1)^2 (x + 1)^3$ is equal to $\frac{2^p3^q}{3125}$
then the ordered pair of (p, …
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The coefficient of $x^{50}$ in the expression of ${(1 + x)^{1000} + 2x(1 + x)^{999} + 3x^2(1 + x)^{998} + ...... + 1001…
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If ${{x}}_k=\cos \Bigg{(}\frac{2\pi k}{n}\Bigg{)}+i\sin \Bigg{(}\frac{2\pi k}{n}\Bigg{)}$ , then $\sum ^n_{k=1}({{…
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Number of point of which f(x) is not differentiable $f(x)=|cosx|+3$ in $[-\pi, \pi]$
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If n1 and n2 are the number of real valued solutions x = | sin–1 x | & x = sin (x) respectively, then the valu…
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The negation of $\sim S\vee(\sim R\wedge S)$ is equivalent to
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A point P in the first quadrant, lies on $y^2 = 4ax$, a > 0, and keeps a distance of 5a units from its focus. Which …
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