Let $A$ and $B$ be two sets containing four and two elements respectively. Then, the number of subsets of the set $A\times B$, each having at least three elements, are :
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A complex number $z$ is said to be unimodular if $|z|=1$. Suppose $z_{1}$ and
$z_{2}$ are complex numbers such that $\d…
Topic: JEE Main 2015 (Offline)
The number of integers greater than $6000$ that can be formed, using the
digits $3,5,6,7$ and $8$, without repetition, …
Topic: JEE Main 2015 (Offline)
If $m$ is the A.M. of two distinct real numbers $l$ and $n$ $(l,n>1)$ and
$G_{1},G_{2}$ and $G_{3}$ are three geometric…
Topic: JEE Main 2015 (Offline)
The number of points, having both co-ordinates as integers, that lie in the
interior of the triangle with vertices $(0,…
Topic: JEE Main 2015 (Offline)
Locus of the image of the point $(2,3)$ in the line
$(2x-3y+4)+k(x-2y+3)=0,\;k\in\mathbb{R},$ is a :
Topic: JEE Main 2015 (Offline)
Let $O$ be the vertex and $Q$ be any point on the parabola, $x^{2}=8y$.
If the point $P$ divides the line segment $OQ$ …
Topic: JEE Main 2015 (Offline)
Let $\tan^{-1}y=\tan^{-1}x+\tan^{-1}\left(\dfrac{2x}{1-x^{2}}\right)$,
where $|x|
Topic: JEE Main 2015 (Offline)
Let $f(x)$ be a polynomial of degree four having extreme values
at $x=1$ and $x=2$. If $\displaystyle \lim_{x\to 0}\lef…
Topic: JEE Main 2015 (Offline)
The set of all values of $\lambda$ for which the system of linear equations $2x_{1}-2x_{2}+x_{3}=\lambda x_{…
Topic: JEE Main 2015 (Offline)
If $A=\begin{bmatrix}
1 & 2 & 2\\
2 & 1 & -2\\
a & 2 & b
\end{bmatrix}$ is a matrix satisfying the equation $AA^{T}=9I$…
Topic: JEE Main 2015 (Offline)
