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12th Standard English Medium Maths Subject Complex Numbers Creative 3 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 15

    3 Marks

    5 x 3 = 15
  1. Find the circle roots of -27.

  2. Show that \(\left| \frac { z-3 }{ z+3 } \right| \) = 2 represent a circle.

  3. If the complex number 2 + i and 1-2i are equidistant from x + iy then show that x+3y = 0.

  4. Find the locus of z if |3z - 5| = 3 |z + 1| where z = x + iy.

  5. If \(\frac { (a+i)^{ 2 } }{ 2a-i } \) = p + iq, show that p2+q2\(\frac { ({ a }^{ 2 }+i)^{ 2 } }{ 4a^{ 2 }+1 } \).

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