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MHT CET202124 Sep 2021Morning ShiftMathematicsComplex NumberActual

If amplitude of (z-2-3 i) is 3 4 , then locus of z is (where z = x + iy)

Options

  1. Ax+y=1
  2. Bx+y=5
  3. Cx-y=-5
  4. Dx-y=1

Correct answer

B. x+y=5

Step-by-step solution

Amplitude of (z-2-3 i) is 3 4 and we have z=x+ iy Amp [( x -2)+ i ( y -3)] is 3 4 ⁻¹ ( y -3 x -2 )= 3 4 ( 3 4 )= y -3 x -2 -1= y-3 x-2 -x+2=y-3 x+y=5

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