Find the point at which, the tangent to the curve $y=\sqrt{4x-3}-1$ as its slope $\frac{2}{3}$
Previous 10 Questions — NIMCET 2013
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Let $f(x)$ be a polynomial function of second degree and $f(1) = f(–1)$. If $a, b, c$ are in A.P. then $f'(a), f'(b), f…
Topic: NIMCET 2013
The area enclosed within the curve $|X|+|Y| = 1$ (in square units) is
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If $\overline{X_1}$ and $\overline{X_2}$ are the means of two distributions such that
$\overline{X_1} < \overline{X_2…
Topic: NIMCET 2013
Let $T_n$ denote the number of triangles which can be formed by using the vertices of a regular polygon
of $n$ sides. I…
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The solution of $\sin x +1 = \cos x $ such that $0\leq x\leq 2\pi$ is
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If $f(x)=tan^{-1}\left [ \frac{sinx}{1+cosx} \right ]$ , then what is the first derivative of $f(x)$?
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In a G.P. consisting of positive terms, each term equals the sum of the next two terms. Then the
common ratio of the G.…
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If the vector $2\hat{i}-3\hat{j}$ , $\hat{i}+\hat{j}-\hat{k}$ and $3\hat{i}-\hat{k}$ form three conterminous edges of a…
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If $\omega$ is a cube root of unity, then find the value of determinant $\begin{vmatrix} 1+\omega &\omega^{2} &…
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The value of the integral $\int _0^{\pi/2} \frac{\sqrt{sinx}}{\sqrt{sinx}+\sqrt{cosx}} dx$ is
Topic: NIMCET 2013
Next 10 Questions — NIMCET 2013
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Atal Speaks truth in 70% and George speaks the truth in 60% cases. In what percentage of cases they
are likely to contr…
Topic: NIMCET 2013
A man observes the angle of elevation of the top of mountain to be 30o. He walks 1000 feet nearer and
finds the angle o…
Topic: NIMCET 2013
The sum of $n$ terms of an arithmetic series is 216. The value of the first term is $n$ and the value of the
$n^{th}$ t…
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Force $3\hat{i}+2\hat{j}+5\hat{k}$ and $2\hat{i}+\hat{j}-3\hat{k}$ are acting on a particle and displace it from the po…
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The value of $9^{\frac{1}{3}}.9^{\frac{1}{9}}.9^{\frac{1}{27}}..... \infty $is.
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The minimum value of the function $y=2x^{3}+36x-20$ is
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In how many different ways can the letters of the word “CORPORATION” be arranged so that all the vowels is always come …
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If $log_x^y=100$ and $log_2^x=10$ then the value of y is.
Topic: NIMCET 2013
The equations of the line parallel to the line $2x – 3y = 7$ and passing through the middle point of the line segment j…
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In a $\Delta ABC$ , $(c+a+b)(a+b-c)=ab$ The measure of the angle C is.
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