The greatest positive argument of complex number satisfying `|z-4|=R e(z)` is
A. `pi/3`
B. `(2pi)/3`
C. `pi/2`
D. `pi/4`

If a line makes an angle of pi/4 with the positive direction of each of x-axis and y-axis, then the angel that the line makes with the positive direction of the z-axis is a. pi/3 b. pi/4 c. pi/2 d. pi/6

The modulus of the complex number z such that |z+3-i|=1" and "arg z= pi is equal to

Find the modulus, argument, and the principal argument of the complex numbers. (i-1)/(i(1-cos((2pi)/5))+sin((2pi)/5)

The smallest positive x satisfying the equation (log)_(cosx)sinx+(log)_(sinx)cosx=2 is pi/2 (b) pi/3 (c) pi/4 (d) pi/6

Represents the variable complex number z . Find the locus of P if arg((z-1)/(z+3))=(pi)/(2) .

In triangle ABC, angle A is greater than angle B. If the measure of angles A and B satisfy the equation 3sinx-4sin^3x-k=0 . (A) pi/3 (B) pi/2 (C) (2pi)/3 (D) (5pi)/6

The least positive solution of cot(pi/(3sqrt3) sin2x)=sqrt3 lie (a) (0,pi/6] (b) (pi/9,pi/6) (c) (pi/12,pi/9) (d) (pi/3,pi/2)

The angle between the tangents drawn from the point (1, 4) to the parabola y^2=4x is (A) pi/6 (B) pi/4 (C) pi/3 (D) pi/2

Find the rectangular form of the complex numbers. (cos" " (pi)/(6) - i sin" " (pi)/(6))/(2(cos" " (pi)/(3) + i sin" " (pi)/(3)))

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