Home
Class 12
MATHS
If z(1),z(2)andz(3) are complex numbers ...

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)|`.

Promotional Banner

Topper's Solved these Questions

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise SECTION - III|10 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise SECTION - IV|13 Videos

  • MODAL QUESTION PAPER

    SURA PUBLICATION|Exercise PART - IV|26 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS ( 5 MARKS)|6 Videos

  • ORDINARY DIFFERENTIAL EQUATIONS

    SURA PUBLICATION|Exercise ADDITIONAL QUESTIONS|24 Videos

Similar Questions

Explore conceptually related problems

If z_(1)" and "z_(2) are two complex numbers such that |(z_(1)-z_(2))/(z_(1)+z_(2))|=1 then

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 .

If z_(1)" and "z_(2) are two complex numbers such that Im(z_(1)+z_(2))=0, Im(z_(1)z_(2))=0 then

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)|

z_(1), z_(3), and z_(3) are complex numbers such that z_(1) + z_(2) + z_(3)=0 and |z_(1)| = |z_(2)| = |z_(3)| = 1 then z_(1)^(2)+z_(2)^(2)+z_(3)^(3)