If `sqrt(5-12 i)+sqrt(-5-12 i)=z` , then principal value of `a rgz` can be `pi/4` b. `pi/4` c. `(3pi)/4` d. `-(3pi)/4`

If sqrt(5-12i)+sqrt(-5-12i)=z ,then principal value of argz can be (pi)/(4) b.(pi)/(4) c.(3 pi)/(4) d.-(3 pi)/(4)

The principal value of the amplitude of (1+i) is pi b.(pi)/(12) c.(pi)/(4) d.(3 pi)/(4)

The principal value of the amplitude of (1+i) is A. pi B. pi/(12) C. pi/4 D. (3pi)/4

If a complex number z satisfies |2z+10+10 i|lt=3sqrt(3)-5, then the least principal argument of z is a. -(5pi)/6 b. -(11pi)/(12) c. -(3pi)/4 d. -(2pi)/3

If z=sqrt(3)-2+i , then principal value of argument z is (where i=sqrt(-1) (1) -(5pi)/(12) (2) pi/(12) (3) (7pi)/(12) (4) (5pi)/(12)

If z=sqrt(3)-2+i, then principal value of argument z is (where i=sqrt(-1)-(5 pi)/(12)(2)(pi)/(12) (3) (7 pi)/(12) (4) (5 pi)/(12)

If a complex number z satisfies |2z+10+10i|<=5sqrt(3)-5, then the least principal argument of z is :(a)-(5 pi)/(6) (b) (11 pi)/(12)( c) -(3 pi)/(4)(d)-(2 pi)/(3)

The magnitude and amplitude of ((1+isqrt(3))(2+2i))/((sqrt(3)-i)) are, respectively a) 2,(3pi)/(4) b) 4,(3pi)/(4) c) 2sqrt(2),(pi)/(4) d) 2sqrt(2),(3pi)/(4)

Draw the graph of y= sqrt(2) sin (x+ (pi)/(4)) for the values of x= 0 , (pi)/(4) , (pi)/(2) ,(3pi)/(4) in [(pi)/(4) ,(3pi)/(4)] and find the maximum value of y.

If 2|sin2alpha|=|tanbeta+cotbeta|,alpha,beta in (pi/2,pi), then the value of alpha+beta is (a) (3pi)/4 (b) pi (c) (3pi)/2 (d) (5pi)/4