Question

$n\pi$can be explained only when.

• A. $n$
• B. $\frac{\sqrt{5 + 12i} + \sqrt{5 - 12i}}{\sqrt{5 + 12i} - \sqrt{5 - 12i}} =$
• C. $- \frac{3}{2}i$
• D. $\frac{3}{2}i$

Answer 1

Answer: (B)

$\frac{\sqrt{5 + 12i} + \sqrt{5 - 12i}}{\sqrt{5 + 12i} - \sqrt{5 - 12i}} =$

Answer 2

$\therefore$, it is defined if and only if imaginary parts must be equal to zero.

Therefore $\left\lbrack \frac{2i}{1 + i} \right\rbrack^{2} = \left\lbrack \left( \frac{2i}{1 + i} \right)\left( \frac{1 - i}{1 - i} \right) \right\rbrack^{2} = (i + 1)^{2} = i^{2} + 1 + 2i = 2i$⇒ $(x + iy)(2 - 3i) = 4 + i$ $(2x + 3y) + i( - 3x + 2y) = 4 + i$