Home
Class 12
MATHS
If arg (z(1))=(17pi)/18 and arg (z(2))=(...

If arg `(z_(1))=(17pi)/18` and arg `(z_(2))=(7pi)/18,` find
the principal argument of `z_(1)z_(2)` and` (z_(1)//z_(2)).`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise EXAMPLE|10 Videos
  • COMPLEX NUMBERS

    ARIHANT MATHS ENGLISH|Exercise EXAMPLE(Single integer answer type questions)|1 Videos
  • CIRCLE

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|16 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|20 Videos

Similar Questions

Explore conceptually related problems

If a rg(z_1)=170^0 and arg(z_2)=70^0 , then find the principal argument of z_1z_2dot

If a rg(z_1)=170^0a n d arg(z_2)70^0 , then find the principal argument of z_1z_2dot

If arg(z_(1))=(2pi)/3 and arg(z_(2))=pi/2 , then find the principal value of arg(z_(1)z_(2)) and also find the quardrant of z_(1)z_(2) .

If |z|=2 and arg (z)=pi/4 , find z .

If z_(1) and z_(2) are conjugate to each other , find the principal argument of (-z_(1)z_(2)) .

Statement-1 : let z_(1) and z_(2) be two complex numbers such that arg (z_(1)) = pi/3 and arg(z_(2)) = pi/6 " then arg " (z_(1) z_(2)) = pi/2 and Statement -2 : arg(z_(1)z_(2)) = arg(z_(1)) + arg(z_(2)) + 2kpi, k in { 0,1,-1}

if arg(z+a)=pi/6 and arg(z-a)=(2pi)/3 then

If arg (z_(1)z_(2))=0 and |z_(1)|=|z_(2)|=1 , then

If |z_(1)|=|z_(2)| and arg (z_(1)//z_(2))=pi, then find the of z_(1)z_(2).

If z = x + iy and arg ((z-2)/(z+2))=pi/6, then find the locus of z.