Home
Class 12
MATHS
AB and CD are two parallel chords of a c...

AB and CD are two parallel chords of a circle of radius 6 cm lying on the same side of the centre. If the chords subtend angles of `72^circ` and `144^circ` at the centre, find the distance between the chords.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • Circular Functions, Identities

    A DAS GUPTA|Exercise Exercise|300 Videos
  • Circles

    A DAS GUPTA|Exercise EXERCISE|122 Videos
  • COMPLEX NUMBERS

    A DAS GUPTA|Exercise EXERCISE|224 Videos

Similar Questions

Explore conceptually related problems

Two parallel chords of a circle, of diameter 20 cm lying on the opposite sides of the centre are of lengths 12 cm and 16 cm . The distance between the chords is

Two parallel chords of a circle,which are on the same side of centre,subtend angles of 72^(@) and 144^(@) respetively at the centre Prove that the perpendicular distance between the chords is half the radius of the circle.

Two parallel chords of a circle , 12 cm and 16 cm long are on the same of the centre. The distance between them is 2 cm. Find the radius of the circle.

AB and CD are two parallel chords of a circle of lengths 10 cm and 4 cm respectively. If the chords are on the same side of the centre and the distance between them is 3cm, then the diameter of the circle is.

AB and CD are two equal and parallel chords of lengths 24 cm each, in a circle of radius 13 cm. What is the distance between the chords ?

In a circle of radius 17 cm, two parallel chords of lengths 30 cm and 16 cm are drawn. If both the chords are on the same side of the centre, then the distance between the chords is a

The chord of a circle of radius 8 cm subtends a right angle at its centre. Find the length of the chord.

Two parallel chords are drawn on the same side of the centre of a circle of radius R .It is fouind that they subtend angles of theta and 2 theta at the centre of the circle.The prependicular distance between the chords is

A DAS GUPTA-Circular Functions, Identities -Exercise
  1. If sin alpha + cos alpha = lambda then find |sin^(6) alpha - cos^(6) a...

    Text Solution

    |

  2. A container is filled with a simple of gas having molecules with speed...

    Text Solution

    |

  3. AB and CD are two parallel chords of a circle of radius 6 cm lying on ...

    Text Solution

    |

  4. Eliminate theta between cosec theta -sin theta = m and sec theta - cos...

    Text Solution

    |

  5. If cos alpha + cos 2alpha = p,sin alpha + sin 2alpha = q then eliminat...

    Text Solution

    |

  6. If cos alpha = cos beta*cos phi= cos gamma *cos theta and sin alpha = ...

    Text Solution

    |

  7. Eliminate theta between a = cos(theta - alpha), b = sin(theta - beta) ...

    Text Solution

    |

  8. Eliminating alpha from xcos alpha = y cos(alpha +2pi/3) = zcos (alpha ...

    Text Solution

    |

  9. If cos rx + cos ry = ar, r = 1, 2, 3 then prove that 2a1^(3) + a3 = 3...

    Text Solution

    |

  10. Eliminate theta, phi from sin theta + sin phi = a, cos theta+ cos phi ...

    Text Solution

    |

  11. Eliminatetheta from lambda cos 2theta = cos(theta + alpha) and lambda...

    Text Solution

    |

  12. If f(theta) = 1 + sin [pi/4 + theta] + cos (pi/4 + theta). find the ra...

    Text Solution

    |

  13. Prove that the value of 5 cos theta + 3cos (theta + pi/3) +3 lies bet...

    Text Solution

    |

  14. Find the maximum and minimum values of sin^(6)x + cos^(6)x.

    Text Solution

    |

  15. In triangle ABC, B = pi/3 and sin A : sin c = x then find the set of ...

    Text Solution

    |

  16. Prove that the relation sin^(2)theta = (x+y)^(2)/4xy is not 4xy possi...

    Text Solution

    |

  17. Prove that sin theta = x + p/x is possible for real x if p le 1/4

    Text Solution

    |

  18. Show that there is no real x for which e^(sin x) - e^(-sin x) = 4.

    Text Solution

    |

  19. If f(x) = 3(sin x - cos x)^(4) + 6(sin x + cos x)^(2) +4(sin^(6)x + co...

    Text Solution

    |

  20. Prove that 1 + cos 2x + cos 4x + cos 6x = 4 cos x *cos 2x *cos 3x.

    Text Solution

    |