Constant forces $\vec{P}= 2\hat{i} - 5\hat{j} + 6\hat{k} $ and $\vec{Q}= -\hat{i} + 2\hat{j}- \hat{k}$ act on a particle. The work done when the particle is displaced from A whose position vector is $4\hat{i} - 3\hat{j} - 2\hat{k} $, to B whose position vector is $6\hat{i} + \hat{j} - 3k\hat{k}$ , is:
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The locus of the intersection of the two lines $\sqrt{3} x-y=4k\sqrt{3}$ and $k(\sqrt{3}x+y)=4\sqrt{3}$, for different
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A chain of video stores sells three different brands of DVD players. Of its DVD player sales, 50% are
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An equilateral triangle is inscribed in the parabola $y^{2} = 4ax$, such that one of the vertices of the triangle
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A password consists of two alphabets from English followed by three numbers chosen from 0 to 3.
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The value of $\int \sqrt{x} e^{\sqrt{x}} dx$ is equal to:
Topic: NIMCET 2014
For the vectors $\vec{a}=-4\hat{i}+2\hat{j}, \vec{b}=2\hat{i}+\hat{j}$ and $\vec{c}=2\hat{i}+3\hat{j}$, if $\vec{c}=m\v…
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The value of $\int_{0}^{\pi/4} log(1+tanx)dx$ is equal to:
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The number of ways in which 5 days can be chosen in each of the 12 months of a non-leap year, is:
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If [x] represents the greatest integer not exceeding x, then $\int_{0}^{9} [x] dx $ is
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In a group of 200 students, the mean and the standard deviation of scores were found to be 40 and 15,
respectively. Lat…
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If the matrix $ \begin{bmatrix}
-1 & 3 & 2 \\
1& k &-3 \\
1 & 4 & 5\\
\end{bmatrix}$ has an …
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The mean deviation from the mean of the AP a, a + d, a + 2d, ..., a + 2nd, is:
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If (x0, y0) is the solution of the equations (2x)ln2 = (3y)ln3 and 3lnx = 2lny, then x0 is:
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The value of tan 1° tan 2° tan 3° ... tan 89° is:
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