Home
Class 10
MATHS
If a chord AB subtends and angle of 60^(...

If a chord `AB` subtends and angle of `60^(@)` at the centre of a circle, then the angle between the tangents to the circle drawn from `A` and `B` is

Text Solution

AI Generated Solution

To solve the problem, we need to find the angle between the tangents to the circle drawn from points A and B, given that the chord AB subtends an angle of 60 degrees at the center of the circle (O). ### Step-by-Step Solution: 1. **Identify the Given Information**: - Chord AB subtends an angle of 60 degrees at the center O of the circle. - We need to find the angle ACB, where C is the external point from which tangents AC and BC are drawn to the circle. ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • CIRCLES

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 9.3 SHORT ANSWER TYPE QUESTIONS|10 Videos
  • CIRCLES

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 9.4 LONG ANSWER TYPE QUESTIONS|14 Videos
  • CIRCLES

    NCERT EXEMPLAR ENGLISH|Exercise EXERCISE 9.4 LONG ANSWER TYPE QUESTIONS|14 Videos
  • ARITHMETIC PROGRESSIONS

    NCERT EXEMPLAR ENGLISH|Exercise Long Answer Type Questions|10 Videos
  • CONSTRUCTIONS

    NCERT EXEMPLAR ENGLISH|Exercise Exercise 10.4 Long Answer type Questions|7 Videos

Similar Questions

Explore conceptually related problems

The radius of a circle is given as 15 cm and chord AB subtends an angle of 131^(@) at the centre C of the circle . Using trigonometry. calculate : the length of AB,

An arc of length 20pi cm subtends an angle of 144o at the centre of a circle. Find the radius of the circle.

A chord A B of a circle, of radius 14 cm makes an angle of 60^@ at the centre of the circle. Find the area of the minor segment of the circle.

Find the length of the chord which subtends an angle of 120^(@) at the centre of the circle of radius 6 cm.

A chord of a circle of radius 12 cm subtends an angle of 120^@ at the centre. Find the area of the corresponding segment of the circle.

In a circle of radius 21 cm, an arc subtends an angle of 60o at the centre. Find: (i) length of the arc

A chord of a circle of radius 15 cm subtends an angle of 60^@ at the centre. Find the areas of the corresponding minor and major segments of the circle.

Prove Equal chords of a circle subtend equal angles at the centre.

A chord PQ of a circle of radius 10 cm makes an angle of 60^(@) at the centre of the circle. Find the area of the major and the minor segment

If two tangents are drawn from a point on x^(2)+y^(2)=16 to the circle x^(2)+y^(2)=8 then the angle between the tangents is