Relations Test ...

Let $$A = \left\{ {x,\,y,\,z} \right\}$$ and $$B = \left\{ {1,\,2} \right\}$$. The number relations from A to B is 

If $$A = \left \{1, 2, 3, 4\right \}$$ and $$I_{A}$$ be the identify relation on $$A$$, then

If x is real, then $$\dfrac{x^2+2x+c}{x^2+4x+3c}$$ can take all real values if?

Let $$R = \left \{(1, 3), (4, 2), (2, 4), (2, 3), (3, 2)\right \}$$ be a relation on the set $$A = \left \{1, 2, 3, 4\right \}$$. The relation $$R$$ is

Let $$A$$ and $$B$$ be two sets containing four and two elements respectively.Then the number of subset of the  set $$A \times B$$, each having at least three elements is 

If $$a\ne R$$ and the equation $$-3(x-[x])^2+2(x-[x])+a^2=0$$ ( where $$[x]$$ denotes the greatest integer $$\le x$$) has no integral solution, then all possible values of a lie in the interval : 

$${x\epsilon R:\frac{14x}{x+1}-\frac{9x-30}{x-4}<0}$$ is equal to 

If $$\left| { z }_{ 1 }-a \right| <a,\left| { z }_{ 2 }-a \right| <b,\left| { z }_{ 3 }-a \right| <c$$, $$(a,b,c\in R)$$ then $$\left| { z }_{ 1 }+{ z }_{ 2 }+{ z }_{ 3 } \right| $$ is

The area of the region $$R = \{(x, y) : |x| \le |y| \, \text{and} \, x^2 + y^2 \le 1 \}$$ is 

Let A and B be sets containing 2 and 4 elements respecetively. The number of subsets $$A \times B$$ having 3 or more elements is