Previous 10 Questions — NIMCET 2012
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The value of
$\cot^{-1}(21) + \cot^{-1}(13) + \cot^{-1}(-8)$
is:
Topic: NIMCET 2012
Normal to the curve
$y = x^3 - 3x + 2$
at the point $(2,4)$ is:
Topic: NIMCET 2012
The value of
$\displaystyle \lim_{n\to\infty} \frac{\pi}{n}\left[\sin\frac{\pi}{n}+\sin\frac{2\pi}{n}+\cdots+\sin\frac{…
Topic: NIMCET 2012
The point on the curve
$y = 6x - x^2$
where the tangent is parallel to the x-axis is:
Topic: NIMCET 2012
If
$ I_1 = \displaystyle \int_{0}^{1} 2^{x^2},dx,\quad
I_2 = \displaystyle \int_{0}^{1} 2^{x^3},dx,\quad
I_3 = \display…
Topic: NIMCET 2012
The value of integral $\displaystyle \int_{0}^{\pi/2} \log \tan x dx$ is
Topic: NIMCET 2012
A determinant is chosen at random from the set of all determinants of matrices of order 2 with elements 0 and 1 only.
T…
Topic: NIMCET 2012
If $\sin^2 x = 1 - \sin x$, then $\cos^4 x + \cos^2 x$ is equal to:
Topic: NIMCET 2012
The equation of the plane passing through the point $(1,2,3)$ and having the normal vector
$N = 3\mathbf{i} - \mathbf{j…
Topic: NIMCET 2012
The value of
$\displaystyle \int_{0}^{\sin^2 x} \sin^{-1}\sqrt{t} dt + \int_{0}^{\cos^2 x} \cos^{-1}\sqrt{t} dt$ is:
Topic: NIMCET 2012
