[" 10."(-2-(1)/(3)i)^(3)],[" (omplex numbers gil "]

If z_(1)=sqrt(3)+i sqrt(3) and z_(2)=sqrt(3)+i then the complex number ((z_(1))/(z_(2))) lies in the

(4i^(2)-6i)-(3+10i) For i=sqrt(-1) , which of the following complex numbers is equal to the expressions above?

Prove that (3+i)/(1+2i)+(3-i)/(1-2i) is a real number.

Prove that (3+i)/(1+2i)+(3-i)/(1-2i) is a real number.

For i=sqrt(-1) , which of the following complex number is equivalent to (10i+4i^2)-(7-3i) ?

Find the principal argument of the complex (1+i)^(5)(1+sqrt(3i))^(2) number ((1+i)^(5)(1+sqrt(3i))^(2))/(-2i(-sqrt(3)+i))

Find the area of the triangle whose vertices are (i)\ \ \ (2,3)," "(-1,0)," "(2,-4) (i i)(-5, -1)," "(3, -5)," "(5,2)

Represent the given complex numbers in polar form : i(1-isqrt3)=i-i^2sqrt3=sqrt3+i

Prove that the representative points of the complex numbers 1+4i, 2+7i, 3+ 10i are collinear

Plot the points represented by the complex numbers 1+i, 2+i, 2+3i, 1+3i