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 $\vec{c}=m\vec{a}+n\vec{b}$ then the value of m + n is
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The value of $\int \sqrt{x} e^{\sqrt{x}} dx$ is equal to:
Topic: NIMCET 2014
Constant forces $\vec{P}= 2\hat{i} - 5\hat{j} + 6\hat{k} $ and $\vec{Q}= -\hat{i} + 2\hat{j}- \hat{k}$&n…
Topic: NIMCET 2014
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
…
Topic: NIMCET 2014
A chain of video stores sells three different brands of DVD players. Of its DVD player sales, 50% are
brand 1, 30% are …
Topic: NIMCET 2014
An equilateral triangle is inscribed in the parabola $y^{2} = 4ax$, such that one of the vertices of the triangle
coin…
Topic: NIMCET 2014
A password consists of two alphabets from English followed by three numbers chosen from 0 to 3.
If repetitions are allo…
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The value of $\int_{0}^{\pi/4} log(1+tanx)dx$ is equal to:
Topic: NIMCET 2014
The number of ways in which 5 days can be chosen in each of the 12 months of a non-leap year, is:
Topic: NIMCET 2014
If [x] represents the greatest integer not exceeding x, then $\int_{0}^{9} [x] dx $ is
Topic: NIMCET 2014
In a group of 200 students, the mean and the standard deviation of scores were found to be 40 and 15,
respectively. Lat…
Topic: NIMCET 2014
If the matrix $ \begin{bmatrix}
-1 & 3 & 2 \\
1& k &-3 \\
1 & 4 & 5\\
\end{bmatrix}$ has an …
Topic: NIMCET 2014
The mean deviation from the mean of the AP a, a + d, a + 2d, ..., a + 2nd, is:
Topic: NIMCET 2014
If (x0, y0) is the solution of the equations (2x)ln2 = (3y)ln3 and 3lnx = 2lny, then x0 is:
Topic: NIMCET 2014
The value of tan 1° tan 2° tan 3° ... tan 89° is:
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If $\alpha$ and $\beta$ are the roots of the equation $2x^{2}+ 2px + p^{2} = 0$, where $p$ is a non-zero real number, a…
Topic: NIMCET 2014
The number of ways to arrange the letters of the English alphabet, so that there are exactly 5 letters between a and b,…
Topic: NIMCET 2014
