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Question

The values of x and y for which the numbers 3+ix2y and x2 +y+4i are conjugate complex can be


A

(-2,-1) or (2,-1)

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B

(1,-2) or (-2,1)

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C

(1,2) or (-1,-2)

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D

None of these

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Solution

The correct option is A

(-2,-1) or (2,-1)


According to condition, 3-ix2 y = x2 + y + 4i

x2 + y = 3 And x2y = -4 ⇒ x = ±2, y = -1

⇒ (x,y) = (2,-1) or (-2,-1)


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