The function $f(x) = \log\left(x + \sqrt{x^2 + 1}\right)$ is

1

$6 + \log_{1/4} \dfrac{1}{\sqrt{2}} \left[ \sqrt{1 - \dfrac{1}{\sqrt{2}}} \sqrt{1 - \dfrac{1}{\sqrt{2}}} \sqrt{1 - \dfr…

Topic: NIMCET 2018

1

Two person A and B agree to meet 20 april 2018 between 6pm to 7pm with understanding that they will wait no longer…

Topic: NIMCET 2018

2

Three numbers a,b and c are chosen at random (without replacement) from among the numbers 1, 2, 3, ..., 99. The probabi…

Topic: NIMCET 2018

3

A and B play a game where each is asked to select a number from 1 to 25. If the two number match, both of them win a pr…

Topic: NIMCET 2018

4

The quadratic equation whose roots are $\sin^218^o$ and $\cos^236^o$  is

Topic: NIMCET 2018

5

Sum to infinity of a geometric is twice the sum of the first two terms. Then what are the possible values of common rat…

Topic: NIMCET 2018

6

Suppose that m and n are fixed numbers such that the mth term of an HP is equal to n and the nth term is equal to m, (m…

Topic: NIMCET 2018

7

If A is an invertible skew-symmetric matrix, then  is a

Topic: NIMCET 2018

8

If the mean of the squares of first n natural numbers be 11, then n is equal to?

Topic: NIMCET 2018

9

The set of points, where $f(x)=\frac{x}{1+|x|}$  is differentiable in 

Topic: NIMCET 2018

10

$\int_0^{\pi} x\, f(\sin x)\, dx$ is equal to

Topic: NIMCET 2018