If \(\displaystyle \int \limits_{\log 2}^{x} \frac{1}{\sqrt{e^{x} - 1}} \, dt = \dfrac{\pi}{6}\), then \(x =\)
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If , then the values of A1, A2, A3, A4 are
Topic: NIMCET 2019
If x is real, then the minimum value of $\dfrac{x^2-x+1}{x^2+x+1}$is:
Topic: NIMCET 2019
Let $X_i, i = 1,2,.. , n$ be n observations and $w_i = px_i +k, i = 1,2,
,n$ where p and k are constants. If the mean o…
Topic: NIMCET 2019
The median AD of ΔABC is bisected at E and BE is extended to meet the side AC in F. The AF : FC =
Topic: NIMCET 2019
In a parallelogram ABCD, P is the midpoint of AD. Also, BP and AC intersect at Q. Then AQ : QC =
Topic: NIMCET 2019
The equation of the circle passing through the point (4,6) and whose diameters are along x + 2y - 5 =0 and 3x…
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If S and S' are foci of the ellipse $\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$, B is the end of the minor axis and B…
Topic: NIMCET 2019
$\lim_{x\to3} \dfrac{\sqrt{3x}-3}{\sqrt{2x-4}-\sqrt{2}}$ is equal to
Topic: NIMCET 2019
The curve satisfying the differential equation ydx-(x+3y2)dy=0 and passing through the point (1,1) also passe…
Topic: NIMCET 2019
If all the words, with or without meaning, are written using the letters of the word QUEEN add are arranged a…
Topic: NIMCET 2019
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Equation of the tangent from the point (3,−1) to the ellipse 2x2 + 9y2 = 3 is
Topic: NIMCET 2019
The position vectors of the vertices A, B, C of a tetrahedron ABCD are \(\hat{i} + \hat{j} + \hat{k}\), \(\hat{i}\) and…
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The $sin^2 x tanx + cos^2 x cot x-sin2x=1+tanx+cotx $, $x \in (0 , \pi)$, then x
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\(\vec{a}\) and \(\vec{b}\) are non-zero non-collinear vectors such that \(|\vec{a}| = 2\), \(\vec{a}\cdot \vec{b} = 1\…
Topic: NIMCET 2019
In a chess tournament, n men and 2 women players participated. Each player plays 2 games against every other player. Al…
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Suppose A1, A2, ... 30 are thirty sets, each with five elements and B1, B2, ...., Bn are n sets each with three element…
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Let \(f(x) = \begin{cases} \cos [x], & x\geq 0\\ |x| + a, & x< 0 \end{cases}\) where \([x]\) denotes the gre…
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Let U and V be two events of a sample space S and P(A) denote the probability of an event A. Which of the following sta…
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If a man purchases a raffle ticket, he can win a first prize of Rs.5,000 or a second prize of Rs.2,000 with probabiliti…
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If the mean deviation 1, 1+d, 1+2d, … , 1+100d from their mean is 255, then d is equal to
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