Previous 10 Questions — NIMCET 2016
Nearest first
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$\int \left(\dfrac{\log x - 1}{1 + (\log x)^2}\right)^2 dx$ is equal to
Topic: NIMCET 2016
If $X={4^n-3n-1,; n\in N}$ and $Y={9n-9,; n\in N}$, then $X\cup Y$ is equal to
Topic: NIMCET 2016
The line 3x + 5y = k touches the ellipse 16 x2 + 25 y2 = 400, if k is
Topic: NIMCET 2016
A box contains 2 blue caps, 4 red caps, 5 green caps and 1 yellow cap. If four caps are picked at
random, the probabili…
Topic: NIMCET 2016
If , , and + are vectors of magnitude α then the magnitude of the vect…
Topic: NIMCET 2016
is equal to
Topic: NIMCET 2016
The equation of a circle with diameters are 2x – 3y + 12 = 0 and x + 4y – 5 = 0 and area of 154 sq.
units is
Topic: NIMCET 2016
The solution set of equation logx2 log2x 2 = log4x 2 is
Topic: NIMCET 2016
The number of 5 people groups that can be selected from 9 people when two particular persons are not
to be in the same …
Topic: NIMCET 2016
The average marks of boys in class is 52 and that of
Topic: NIMCET 2016
Next 10 Questions — NIMCET 2016
Ascending by ID
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The volume of the parallelepiped determined by $u = i + 2j - k,; v = -2i + 3k$ and $w = 7j - 4k$
Topic: NIMCET 2016
The vector perpendicular to the plane passing through $(1,-1,0),; (2,1,-1)$ and $(-1,1,2)$ is
Topic: NIMCET 2016
If $2x^2 + 7xy + 3y^2 + 8x + 14y + \lambda = 0$ represents a pair of straight lines, the value of $\lambda$ is
Topic: NIMCET 2016
The area of region bounded by the lines $y = |x - 1|$ and $y = 3 - |x|$ is
Topic: NIMCET 2016
In a triangle $ABC$, $a = 4$, $b = 3$, $\angle BAC = 60^\circ$, then the equation for which $c$ is the root is
Topic: NIMCET 2016
If $\cos\theta = \dfrac{5}{13},; \dfrac{3\pi}{2} < \theta < 2\pi$, then $\tan 2\theta$ is
Topic: NIMCET 2016
An experiment has $10$ equally likely outcomes. Let $A$ and $B$ be two non-empty events of the experiment. If $A$ consi…
Topic: NIMCET 2016
Let $\vec{a}, \vec{b}$ and $\vec{c}$ be three non-zero vectors, no two of which are collinear, if the vector $\vec{a}+2…
Topic: NIMCET 2016
The minimum value of $a$, for which the sum of the squares of the roots of the equation $x^2-(a-2)x-(a+1)=0$
Topic: NIMCET 2016
For any two events $A$ and $B$, the probability that atleast one of them occur is $0.6$. If $A$ and $B$ occur simultane…
Topic: NIMCET 2016
