List of top Mathematics Questions on Algebra asked in JEECUP

If \(x^y = y^x\) then \(\left(\frac{x}{y}\right)^{x/y}\) is
What must be added in \(\frac{9}{x^2} + 4y^2\) to make it a whole square?
If \( A = \frac{x+1}{x-1} \) and \( B = \frac{x-1}{x+1} \), then \( A + B \) is: