defence exam Agniveer Vayu Group X & XY Mock Test 01/2026 Mathematics Complex Numbers Algebraic Operations on Complex Numbers
If x = \(\rm\frac{4}{5}+\frac{3}{5}i\), y = \(\frac{\sqrt3}{\sqrt8}-\frac{\sqrt5}{\sqrt8}\) i, then \(\rm(x^2+\frac{1}{x^2})(y^2-\frac{1}{y^2})\) =
1
\(\rm\frac{-7\sqrt3}{5\sqrt5} i\)
2
\(\rm\frac{7}{125}i\)
3
\(\rm\frac{7\sqrt3}{5\sqrt5} i\)
4
\(\rm\frac{\sqrt{15}}{\sqrt8} i\)