In a triangle ABC, angle A=90° and D is the midpoint of AC. What is the value of  equal to?

1

If $\sin\theta = 3\sin(\theta + 2\alpha)$, then value of $\tan(\theta + \alpha) + 2\tan\alpha$ is

Topic: NIMCET 2018

2

The value of $\cot\!\left(cosec^{-1}\dfrac{5}{3} + \tan^{-1}\dfrac{2}{3}\right)$ is

Topic: NIMCET 2018

3

A bird is flying in a straight line with velocity vector 10i+6j+k, measured in km/hr. If the starting point is (1,2,3),…

Topic: NIMCET 2018

4

Forces $4\hat{i} - 3\hat{j} + 7\hat{k}$ and $-2\hat{i} + 2\hat{j} - 8\hat{k}$ are acting on a particle and displaced it…

Topic: NIMCET 2018

5

The vector $\vec{a} = \alpha\hat{i} + 2\hat{j} + \beta\hat{k}$ lies in the plane of the vector $\vec{b} = \hat{i} + \ha…

Topic: NIMCET 2018

6

If $\vec{a}, \vec{b}$ and $\vec{c}$ are unit vectors, then $|\mathbf{a} - \mathbf{b}|^2 + |\mathbf{b} - \mathbf{c}|^2 +…

Topic: NIMCET 2018

7

$f(x) = x + |x|$ is continuous for

Topic: NIMCET 2018

8

Differential coefficient of $\log_{10} x$ with respect to $\log_{x} 10$ to

Topic: NIMCET 2018

9

Question

Topic: NIMCET 2018

10

If  and , then the value of  is

Topic: NIMCET 2018

1

Through any point (x, y) of a curve which passes through the origin, lines are drawn parallel to the coordinate axes. T…

Topic: NIMCET 2018

2

A line passing through (4, 2) meets the x and y-axis at P and Q respectively. If O is the origin, then the locus of the…

Topic: NIMCET 2018

3

In a city 40% of the adults are illiterate while 85% of the children are literate If the ratio of the adults to that of…

Topic: NIMCET 2018

4

There are 50 students admitted to a nursery class. Some students can speak only English and so…

Topic: NIMCET 2018

5

The last digit of the number obtained by multiplying the numbers 81 x 82 x 83 x 84 x 85 x 86 x 87 x 88 x 89 is

Topic: NIMCET 2018

6

It has been reported in recent years that a very large number of seats in the engineering colleges in the country remai…

Topic: NIMCET 2018

7

At what time, in minutes, between 3 o'clock and 4 o'clock, both the needles will coincide each other?

Topic: NIMCET 2018

8

If $\log_3 2,\ \log_3(2^x - 5),\ \log_3\!\left(2^x - \dfrac{7}{2}\right)$ are in arithmetic progression, then the value…

Topic: NIMCET 2018

9

Let n be the number of different 5 digit numbers, divisible by 4 that can be formed with the digits 1,2, 3, 4, 5 and 6,…

Topic: NIMCET 2018

10

Let S be the set of integers x such that (i) 100 ≤ x ≤ 200(ii) x is odd and(iii) x is divisible by 3 but…

Topic: NIMCET 2018