Relations Test ...

The domain of $$\dfrac{1}{\sqrt{x-x^{2}}}+\sqrt{3x-1-2x^{2}}$$ is 

The set of values of '$$b$$' for which the origin and the point $$(1,1)$$ lie on the same side of the straight line $${ a }^{ 2 } x + ab y + 1 = 0 \;\;\forall \;\; a\in R,\; b > 0$$ are:

Total number of equivalence relation defined in the set $$s=\{a, b, c\}$$ is

The domain of $$f(x)=\frac{1}{\sqrt{(x-1)(x-2)(x-3)}}$$ is 

Let A be a finite set and n(A) = 5, then the number of relations which are not symmetric is _____________________.

Let $$A=\left\{ 2,4,6,8 \right\} $$. A relation $$R$$ on $$A$$ is defined by $$R={(2,4),(4,2),(4,6),(6,4)}$$. Then $$R$$ is:

If $$x\ \epsilon \ R$$, the number of solutions of $$\sqrt{2x+1}-\sqrt{2x-1}-1$$ is

If $$\sqrt { \log _ { 4 } \left( \log _ { 2 } \left( \log _ { 2 } \left( x ^ { 2 } - 2 x + a \right) \right) \right. } )$$ is defined $$\forall x \in R$$, then

Let $$T$$ be the set of all triangle in the Euclidean plane, and let a relation $$R$$ on $$T$$ be defined as $$aRb$$ if a is congruent to $$b\ \forall \ a, b\ \epsilon \ T$$. Then $$R$$ is

Let S be the set of all real nos, then the relation $$R = \{ ( a , b ) : | a - b |$$ is a multiple of 4$$\}$$ then the relation.