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  • If z = x2 + 4i and w = 2 + yi, (i = v(-1)) Where z and w are complex numbers such that z = w then ordered pair (x, y) is/areOption: 1 (√2, 4)</

If z = x2 + 4i and w = 2 + yi, (i = v(-1)) Where z and w are complex numbers such that z = w then ordered pair (x, y) is/are

Option: 1

(√2, 4)


Option: 2

(-√2, 4)


Option: 3

(-√2, √2)


Option: 4

Both option (a) and (b)


Answers (1)

best_answer

Given z = w

x2 + 4i = 2 + yi

Compare real and imaginary part

x2 = 2 ⇒ x = √2 and x = -√2

y = 4

Ordered pair (x, y) is (√2, 4) and (-√2, 4)

 

Correct option is (d)

Posted by

sudhir.kumar

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