Home
Class 12
MATHS
Angle subtended by chord of a circle at ...

Angle subtended by chord of a circle at the centre is twice the angle subtended at the circumference . If OP is rotated through an angle `phi` in anti - clockwise direction to become OQ then ` OQ = OP e^(iphi)`
If `omega` is a complex number such that `| omega| = r ne 1 ` then ` z = omega + (1)/( omega)` describes a conic. The distance between the foci is

A

2

B

`2 (sqrt(2) - 1)`

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (1) (True and False)|5 Videos
  • COMPLEX NUMBERS

    ML KHANNA|Exercise Problem Set (2) (M.C.Q)|111 Videos
  • CO-ORDINATE GEOMETRY OF THREE DIMENSION

    ML KHANNA|Exercise SELF ASSIGNMENT TEST |11 Videos
  • CONCEPTS OF SET THEORY

    ML KHANNA|Exercise Self Assessment Test|13 Videos

Similar Questions

Explore conceptually related problems

The total plane angle subtended by a circle at its centre is

The angle subtended by an arc of a circle at the centre is double the angle subtended by it any point on the remaining part of the circle.

A chord of a circle is equal to its radius. The angle subtended by this chord at a point on the circumference is

If w is a complex number such that |w|=r!=1,Z=w+(1)/(w) describes a conic,then distance between foci is

The angle subtended by a chord at its centre is 60^(@) , then the ratio between chord and radius is

Theorem 10.2 : If the angles subtended by the chords of a circle at the centre are equal, then the chords are equal.