MHT CET202121 Sep 2021Morning ShiftMathematicsComplex NumberActual

The complex number with argument 5 ^c 6 at a distance of 2 units from the origin is

Options

A3 - i
B3 + i
C- 3 - i
D- 3 + i

Correct answer

D. - 3 + i

Step-by-step solution

Let z = a + ib and we have b a = ( 5 6 ) and a ^2+ b ^2 =2 b a = ( - 6 )=- 6 = -1 3 and a ^2+ b ^2=4 b = - a 3 and a ^2+ b ^2+4 a ^2+ a ^2 3 =4 4 a ^2=12 a ^2=3 a = 3 Also b = - a 3 = 3 3 = 1 Since complex number lies in 2^ nd quadrant, a =- 3 and b =1 z =- 3 + i

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