Relations and F...

If $$A$$ and $$B$$ are independent event such that $$P(A \cap B')=\dfrac {3}{25}$$ and $$P(A' \cap B)=\dfrac {8}{25}$$, then $$P(A)=$$

Let $$S=\{x \in R : x\geq 0$$ and $$2|\sqrt{x}-3|+\sqrt{x}(\sqrt{x}-6)+6=0\}$$. Then S?

Let $$f ( x ) + f ( 2 x ) + f ( 2 - x ) + f ( 1 + x ) = x , \text { for all } x \in R$$ then $$f ( 0 )$$ equals:

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

If  $$x<-1$$ then $${ x }^{ 2 }$$ 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:

The minimum value of the sum of real numbers $${ a }^{ -5 },{ a }^{ -4 },{ 3a }^{ -3 },{ 1 },{ a }^{ 8 }$$ and $${ a }^{ 10 }$$ with a > 0 is  ______.

Let $$f\left( x \right)$$ be the primitive of $$\dfrac { 3x+2 }{ \sqrt { x-9 }  } $$ with respect to 'x' . if  F(10) =60 .  them the sum of digit of the value of F (13) i  

If $$a<b<c<d\quad$$ and $$x\epsilon R$$ Then the least value of the functions,
$$f\left( x \right) =\left| x-a \right| +\left| x-b \right| +\left| x-c \right| +\left| x-d \right|$$  

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