if `(I m(z))^2=4(R e(z)-2)` then `a r g(z)` c a n b e

If z(2-2sqrt(3i))^2=i(sqrt(3)+i)^4, then a r g(z)=

If a r g(z)<0, then a r g(-z)-"a r g"(z) equals pi (b) -pi (d) -pi/2 (d) pi/2

If a r g(z)<0, then a r g(-z)-"a r g"(z) equals pi (b) -pi (d) -pi/2 (d) pi/2

If z!=0 be a complex number and a rg(z)=pi/4, then R e(z)=I m(z)on l y R e(z)=I m(z)>0 R e(z^2)=I m(z^2) (d) None of these

If |z-1|-1,t h e n a r g((z-1-i)//z) can be equal to pi//4 (z-2)//z is purely imaginary number (z-2)//z is purely real number If a rg(z)=theta,w h e r ez!=0a n dtheta is acute, then 1-2//z=it a ntheta

In a A B C ,\ D ,\ E ,\ F are the mi-points of sides B C ,\ C A\ a n d\ A B respectively. If a r( A B C)=16 c m^2, then a r\ (t r a p e z i u m\ F B C E)= 4\ c m^2 (b) 8\ c m^2 (c) 12 c m^2 (d) 10 c m^2

In a A B C ,\ D ,\ E ,\ F are the mi-points of sides B C ,\ C A\ a n d\ A B respectively. If a r( A B C)=16 c m^2, then a r\ (t r a p e z i u m\ F B C E)= 4\ c m^2 (b) 8\ c m^2 (c) 12 c m^2 (d) 10 c m^2

If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I m(z)=0 c. R e(z)>0 d. R e(z)>0,I m(z)<0

If z=[(sqrt(3)/2)+i/2]^5+[((sqrt(3))/2)-i/2]^5 , then a. R e(z)=0 b. I m(z)=0 c. R e(z)>0 d. R e(z)>0,I m(z)<0

If z = (2-i)/(i) , then R e(z^(2)) + I m(z^(2)) is equal to a)1 b)-1 c)2 d)-2