Home
Class 12
MATHS
Let z1 and z2 be n^(th) roots of unity w...

Let `z_1 and z_2` be `n^(th)` roots of unity which subtend a right angle at the origin. Then n must be of the form

A

4K + 1

B

4K + 2

C

4k+3

D

4k

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • JEE MOCK TEST 18

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

  • JEE MOCK TEST 20

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Let z_(1) and z_(2) be nth roots of unity which subtend a right angle at the origin.Then n must be of the form (1) 4k+1 (2) 4k+2 (3) 4k+3(4)4k

Q.Let z_(1) and z_(2) be nth roots of unity which subtend a right angle at the origin,then n must be the form 4k .

Knowledge Check

  • Let z_(1) and z_(2) be nth roots of unity which subtend a right angle at the origin. The n must be of the form

    A
    4 k - 1
    B
    4 k + 2
    C
    4 k + 3
    D
    4 k

  • Let z _(1) and z _(2) be nth roots of unity which subtend a right angle at the origin, then n must be of the form

    A
    `4k + 1 `
    B
    `4k +2`
    C
    `4k + 3`
    D
    `4k`

  • If z_(1) and z_(2) are two n^(th) roots of unity, then arg (z_(1)/z_(2)) is a multiple of

    A
    `npi`
    B
    `(3pi)/n`
    C
    `(2pi)/(n)`
    D
    none of these

    • Similar Questions

    Explore conceptually related problems

    The product of all n^(th) root of unity is always

    Let z_1 and z_2 be the roots of the equation 3z^2 + 3z + b=0 . If the origin, together with the points represented by z_1 and z_2 form an equilateral triangle then find the value of b.

    For n>=3, the n roots of unity form

    Let z_1 and z_2 be the roots of z^2+pz+q =0. Then the points represented by z_1,z_2 the origin form an equilateral triangle if p^2 =3q.

    If z_(1) and z_(2) are two nth roots of unity , then arg ((z_(1))/(z_(2))) is a multiple of

    Home
    Profile