Home
Class 12
MATHS
[" 15.Given that "z(1),z(2)" ,and "z(3)"...

[" 15.Given that "z_(1),z_(2)" ,and "z_(3)" are complex numbers with "],[|z_(1)|=|z_(2)|=|z_(3)|=1,z_(1)+z_(2)+z_(3)=1" and "z_(1)z_(2)z_(3)=1],[" Find "|(z_(1)+2)(z_(2)+2)(z_(3)+2)|]

Promotional Banner

Similar Questions

Explore conceptually related problems

Given the z_(1),z_(2) and z_(3) are complex numbers with |z_(1)|=1,|z_(2)|=1,|z_(3)|=1, and z_(1)+z_(2)+z_(3)=1 and z_(1)z_(2)z_(3)=1 find |(z_(1)+2)(z_(2)+2)(z_(3)+2)|

If z_(1),z_(2)andz_(3) are complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=|z_(1)+z_(2)+z_(3)|=1 , find the value of |1/z_(1)+1/z_(2)+1/z_(3)| .

Let z_(1),z_(2) and z_(3) be complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=1 then prove that |z_(1)+z_(2)+z_(3)|=|z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1)|

If z_(1),z_(2),z_(3) are complex numbers such that |z_(1)|=|z_(2)|=|Z_(3)|=|(1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))|=1 , then find |z_(1)+z_(2)+z_(3)| .

If z_(1),z_(2),z_(3) are complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=|(1)/(z_(1))+(1)/(z_(2))+(1)/(z_(3))|=1 then |z_(1)+z_(2)+z_(3)| is equal to

a. Let z_(1),z_(2) and z_(3) be complex numbers such that |z_(1)|=|z_(2)|=|z_(3)|=rgt0 and z_(1)+z_(2)+z_(3)!=0 . Prove that |(z_(1)z_(2)+z_(2)z_(3)+z_(3)z_(1))/(z_(1)+z_(2)+z_(3))|=r b. Find all cube roots of sqrt(3)+i .