If `A={x inZ:x^(2)-1=0}and B={x inZ:x^(2)+x+1=0},` where Z is set of complex numbers, then what is `A sum B` equal to ?

If A = {x:x in N, (x^2-9)(x^2-5)=0} and B={x:x in N,x(x-2)(x-3)=0} where N is the set of all natural numbers, then BxxA is

If equations 2x^(2)+bx+b=0 and x^(2)+2x+2b=0,b!=0,b!=C (where 'C' is a set of complex numbers) have a common root,then |(b-8)/(b)| is

if lim_(x->0)(1+a x)^(b / x)=e^2, where a and b are natural numbers, then

Let x_(1),x_(2) are the roots of the quadratic equation x^(2) + ax + b=0 , where a,b, are complex numbers and y_(1), y_(2) are the roots of the quadratic equation y^(2) + |a|yy+ |b| = 0 . If |x_(1)| = |x_(2)|=1 , then prove that |y_(1)| = |y_(2)| =1

Let x_(1),x_(2) are the roots of the quadratic equation x^(2) + ax + b=0 , where a,b, are complex numbers and y_(1), y_(2) are the roots of the quadratic equation y^(2) + |a|yy+ |b| = 0 . If |x_(1)| = |x_(2)|=1 , then prove that |y_(1)| = |y_(2)| =1

Let Z is be the set of integers , if A={"x"inZ:|x-3|^((x^2-5x+6))=1} and B{x in Z : 10 lt3x+1lt 22} , then the number of subsets of the set AxxB is

Let Z is be the set of integers , if A={"x"inZ:|x-3|^((x^2-5x+6))=1} and B{x in Z : 10 lt3x+1lt 22} , then the number of subsets of the set AxxB is

if lim_(x rarr0)(1+ax)^((b)/(x))=e^(2), where a and b are natural numbers,then