8quad " (iii) "z^(3)-3z^(2)+4

Write the constant term of (i) 3x^(2) + 5x + 8 (ii) 2x^(2) - 9 (iii) 4y^(2) - 5y + (3)/(5) (iv) z^(3) - 2z^(2) + z - (8)/(3)

If z= -3 + sqrt2i , then prove that z^(4) + 5z^(3) + 8z^(2) + 7z + 4 is equal to -29

The value of (z+3) (barz+3) is equal to (i) |z +3|^(2) (ii) |z-3| (iii) z^(2)+3 (iv) none of these

If z=3-4i then z^(4)-3z^(3)+3z^(2)+99z-95 is equal to

If z = 2 + i, prove that z^(3) + 3z^(2) - 9z + 8 = (1 + 14i) .

If z = -5 + 3i , find the value of (z^(4)+9z^(3)+26z^(2)-14z + 8) .

Subtract : 3z^(2)-2z^(2)+7z -8 from 8-z-z^(2)

The point z_(1),z_(2),z_(3),z_(4) in the complex plane are the vertices of a parallogram taken in order, if and only if. (1) z _(1) +z_(4)=z_(2)+z_(3) (2) z_(1)+z_(3) =z_(2) +z_(4) (3) z_(1)+z_(2) =z_(3)+z_(4) (4) z_(1) + z_(3) ne z_(2) +z_(4)

If z = ((sqrt(3) + i)^(3) (3i+4)^(2))/((8 + 6i)^(2)) , then |z| is equal to