Home
Class 12
MATHS
If arg (z^(1//2))=(1)/(2)arg(z^(2)+barzz...

If `arg (z^(1//2))=(1)/(2)arg(z^(2)+barzz^(1//3)),` find the value of `|z|.`

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 arg(z^(3//8))=(1)/(2)arg(z^(2)+barz^(1//2)) , then which of the following is not possible ?

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 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)).

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

For a complex number Z,|Z|=1 and "arg "(Z)=theta . If (Z)(Z^(2))(Z^(3))…(Z^(n))=1 , then the value of theta is

Let z_1, z_2,z_3 be complex numbers (not all real) such that |z_1|=|z_2|=|z_3|=1 and 2(z_1+z_2+z_3)-3z_1 z_2 z_3 is real. Then, Max (arg(z_1), arg(z_2), arg(z_3)) (Given that argument of z_1, z_2, z_3 is possitive ) has minimum value as (kpi)/6 where (k+2) is

Let z_(1),z_(2) be two distinct complex numbers with non-zero real and imaginary parts such that "arg"(z_(1)+z_(2))=pi//2 , then "arg"(z_(1)+bar(z)_(1))-"arg"(z_(2)+bar(z)_(2)) is equal to

For a complex number Z, if arg Z=(pi)/(4) and |Z+(1)/(Z)|=4 , then the value of ||Z|-(1)/(|Z|)| is equal to