`(sqrt3+i)/(-1-isqrt3)`

If z=((1+isqrt3)^2)/(4i(1-isqrt3)) is a complex number then a. arg(z)=pi/4 b. arg(z)=pi/2 c. |z|=1/2 d. |z|=2

The argument of (1-isqrt(3))/(1+isqrt(3)) is a. 60^@ b. 120^@ c. 210^@ d. 240^@

The argument of (1-isqrt(3))/(1+isqrt(3)) is 60^0 b. 120^0 c. 210^0 d. 240^0

Find the modulus and argument of the following : (i) -sqrt (3)+i (ii) -1-isqrt(3) (iii) 5+12i (iv) 3(cos300^(@)-isin30^(@))

If a , b ,c real in G.P., then the roots of the equation a x^2+b x+c=0 are in the ratio a. 1/2(-1+isqrt(3)) b. 1/2(1-isqrt(3)) c 1/2(-1-isqrt(3)) d. 1/2(1+isqrt(3))

Convert (4-isqrt(3))/(4+isqrt(3)) in the form of a+ib .

If in a "Delta"A B C ,\ A=(0,0),\ B=(3,3sqrt(3)), C-=(-3sqrt(3),3) then the vector of magnitude 2sqrt(2) units directed along A O ,\ w h e r e\ O is the circumcentre of A B C is a. (1-sqrt(3)) hat i+(1+sqrt(3)) hat j b. (1+sqrt(3)) hat i+(1-sqrt(3)) hat j c. (1+sqrt(3)) hat i+(sqrt(3)-1) hat j d. none of these

Solve the following equations for A, if : (i) sin 3 A = (sqrt(3))/(2) (ii) sqrt(3) cot 2A = 1

For any integer n, the argument of ((sqrt3+i)^(4n+1))/((1-isqrt3)^(4n))

If i=sqrt-1, then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is equal to (1) 1-isqrt3 (2) -1+isqrt3 (3) isqrt3 (4) -isqrt3