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A complex number z lies above real axis at a distance 3 units from it and also on left of imaginary axis at a distance of 2units from it then the complex number 

  • Option 1)

    lies in 1st quadrant with z=2+3i

  • Option 2)

    lies in 2nd quadrant with z=-2+3i

  • Option 3)

    lies in 3rd quadrant with z=-2-3i

  • Option 4)

    lies in 4th quadrant with z=2-3i

 

Answers (1)

best_answer

Point will have co-ordinate (-2,3) so in 2nd quadrant and corresponding complex number is 

Z= -2+3i

Representation of complex number in Argand plane (Similar to Cartesian plane) -

z=x+iy is represented on a plane similar to cartesian plane with horizontal line as real axis and vertical as imaginary axis.  z=x+iy  on plane will be a point with co-ordinate (x,y).

- wherein

x will be taken along real axis and y will be taken along imaginary axis. x will increase from left to right & y will increase from bottom to top. Point of intersection of both axis will have co-ordinate (0,0) for complex number z=0

 

 


Option 1)

lies in 1st quadrant with z=2+3i

This is incorrect

Option 2)

lies in 2nd quadrant with z=-2+3i

This is correct

Option 3)

lies in 3rd quadrant with z=-2-3i

This is incorrect

Option 4)

lies in 4th quadrant with z=2-3i

This is incorrect

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