If (x + iy) (p + iq) = (x2 + y2) i then – | MATH - INTEGRAL POWER OF IOTA, ALGEBRAIC OPERATIONS AND EQUALITY OF COMPLEX NUMBERS | SolveeIt | Solveeit

Today, August 19

Question

If (x + iy) (p + iq) = (x² + y²) i then –

A

x = p, y = q

B

x² = p, y² = q

C

x = q, y = p

D

None of these

Answer

x = q, y = p

Explanation

Solution

Sol. (x + iy). (p + iq) = (x + iy)(x – iy)i

p + iq = (x – iy)i

p = y, q = x