If z1 =  \(\rm 2\sqrt{5} + 5i\) and z2 = \(\rm \sqrt{5} + i\)  then find the quadrant in which (z1 - z2) lies

  1. I
  2. II
  3. III
  4. IV

Answer (Detailed Solution Below)

Option 1 : I
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Detailed Solution

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Concept:

z = x + iy

when x > 0, y > 0 then point lie in quadrant I.

Calculation:

Given

z1 = \(\rm 2\sqrt{5} + 5i\) and z2 = \(\rm \sqrt{5} + i\)

z1 - z\(\rm \sqrt{5} + 4i\) 

which is represented by a point in quadrant I

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