$6 + \log_{1/4} \dfrac{1}{\sqrt{2}} \left[ \sqrt{1 - \dfrac{1}{\sqrt{2}}} \sqrt{1 - \dfrac{1}{\sqrt{2}}} \sqrt{1 - \dfrac{1}{\sqrt{2}}} \cdots \right] =$
Next 10 Questions — NIMCET 2018
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The function $f(x) = \log\left(x + \sqrt{x^2 + 1}\right)$ is
Topic: NIMCET 2018
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
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
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
The quadratic equation whose roots are $\sin^218^o$ and $\cos^236^o$ is
Topic: NIMCET 2018
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
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
If A is an invertible skew-symmetric matrix, then is a
Topic: NIMCET 2018
If the mean of the squares of first n natural numbers be 11, then n is equal to?
Topic: NIMCET 2018
The set of points, where $f(x)=\frac{x}{1+|x|}$ is differentiable in
Topic: NIMCET 2018
