The values of x and y for which the numbers 3+i x 2 y and x 2 +y+4i are conjugate complex are Options: A . &nbsp (-2,-1) or (2,-1) B . &nbsp (1,-2) or (-2,1) C . &nbsp (1,2) or (-1,-2) D . &nbsp None of these

The values of x and y for which the numbers 3+ix2y and x2 +y+4i

Question -

The values of x and y for which the numbers 3+i $x^{2}$ y and $x^{2}$ +y+4i are conjugate complex are

Options:

A . (-2,-1) or (2,-1)

B . (1,-2) or (-2,1)

C . (1,2) or (-1,-2)

D . None of these

Answer: Option A
:
A

According to condition, 3-i $x^{2}$ y = $x^{2}$ + y + 4i

⇒ $x^{2}$ + y = 3 And $x^{2}$ y = -4 ⇒ x = ±2, y = -1

⇒ (x,y) = (2,-1) or (-2,-1)

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