Let m and n be 2 positive integers, such that `m < n`. Which of the following compound inequalities must be true?

The number of all pairs (m, n), where m and n are positive integers, such that 1/(m)+1/(n)+1/(mn)=2/(5) is

If m and n are positive integers such that m^(n) = 1331 , then what is the value of ( m-1)^(n-1) ?

Let ABCD be a parallelogram. Let m, n be positive integers such that n lt m lt 2n. Let AC = 2mn and BD=m^(2)-n^(2) . Let AB=(m^(2)+n^(2))//2 . Statement - I : AC gt BD Statement - II : ABCD is a rhombus. Which one of the following is correct in respect of the above statements ?

If m and n are positive integers such that (m-n)^(2)=(4mn)/((m+n-1)) , then how many pairs (m, n) are possible?

Let m and n be two positive integers greater than 1. If underset(alphato0)lim((e^(cos(alpha^(n)))-e)/(alpha^(m)))=-((e)/(2))" then the value of "(m)/(n)" is-"

Let m and n be two positive integers greater than 1.If lim_(alpha->0) (e^(cos alpha^n)-e)/(alpha^m)=-(e/2) then the value of m/n is

Let m and n be two positive integers greater than 1. If lim_(alpha rarr0)(e^(cos alpha^(n))-e)/(alpha^(m))=-((e)/(2)) then the value of (m)/(n) is

Let m and n be two positive integers greater than 1. if lim_(alphararr0)((e^cos(a^n)-e)/alpha^m)=-(e/2) ,then the value of m/n is

Let m and n be two positive integers greater than 1.If lim_(alpha->0) (e^(cos alpha^n)-e)/(alpha^m)=-(e/2) then the value of m/n is

Let m and n be two positive integers greater than 1.If lim_(alpha->0) (e^(cos alpha^n)-e)/(alpha^m)=-(e/2) then the value of m/n is