An equilateral triangle is inscribed in the parabola $y^{2} = 4ax$, such that one of the vertices of the triangle coincides with the vertex of the parabola. The length of the side of the triangle is:

1

A password consists of two alphabets from English followed by three numbers chosen from 0 to 3. If repetitions are allo…

Topic: NIMCET 2014

1

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

2

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

3

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

4

The value of $\int \sqrt{x} e^{\sqrt{x}} dx$ is equal to:

Topic: NIMCET 2014

5

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…

Topic: NIMCET 2014

6

The value of $\int_{0}^{\pi/4} log(1+tanx)dx$ is equal to:

Topic: NIMCET 2014

7

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

8

If [x] represents the greatest integer not exceeding x, then $\int_{0}^{9} [x] dx $ is

Topic: NIMCET 2014

9

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

10

If the matrix $ \begin{bmatrix} -1 & 3 & 2 \\ 1& k &-3 \\ 1 & 4 & 5\\ \end{bmatrix}$ has an …

Topic: NIMCET 2014