Home
Class 12
MATHS
Two circles pass through each each other...

Two circles pass through each each other's centre. If an arc of length l of the first circle subtends `theta` radian at its centre and an arc of length m of the seconds circle subtends `varphi` radian at its centre, then prove that, `lvarphi=m theta` .

Promotional Banner

Topper's Solved these Questions

  • MEASURMENT OF TRIGONOMETRICAL ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Multiple correct Answers Type )|5 Videos

  • MEASURMENT OF TRIGONOMETRICAL ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Integer Answer Type )|5 Videos

  • MEASURMENT OF TRIGONOMETRICAL ANGLES

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Exams (Assertion -Reason Type)|2 Videos

  • MEASURES OF DISPERSION

    CHHAYA PUBLICATION|Exercise Sample question for competitive exams (D. Assertion-Reason Type)|2 Videos

  • METHOD OF SUBSTITUTION

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion-Reason Type)|2 Videos

Similar Questions

Explore conceptually related problems

If the arc of a circle of radius 60 cm subtends and angle 2/3 radian at its centre , then the length of the arc will be

Two -circles of equal radii pass through each other's centre show that the length of the arc cut off from any circle by the other is equal to one theird the length of its circumference.

In a circle of radius 21 cm, an arc subtends an angle of 60° at the centre. Find the length of the arc.

If the angle - bisector of two intersecting chords of a circle passes through its centre , then prove that the chords are equal .

State True or False- If in a circle of radius 10cm length, a chord subtends right-angle at the centre , then the length of the chord will be 5 cm.

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

Write True or False If in a circle of radius 10cm length, a chord subtends right angle at the centre, then the length of the chord will be 5cm.

Two circles intersect each other such that each circle passes through the centre of the other. If the distance between their centres is 12, what is the radius of each circle?

Prove that the lengths of the chord of a circle which subtends an angle 108^(@) at the centre is equal to the sum of the lenths of the chords which subtend angles 36^(@) and 60^(@) at the centre of the same circle.

CHHAYA PUBLICATION-MEASURMENT OF TRIGONOMETRICAL ANGLES-EXERCISE 1
  1. The greatest angle of a cyclic quadrilateral is three times the least ...

    Text Solution

    |

  2. If the circumference of a circle be divided into five parts which are ...

    Text Solution

    |

  3. A regular polygon has n times as many sides as another and the number ...

    Text Solution

    |

  4. The angles in each of two triangles are in G.P . The least angle of on...

    Text Solution

    |

  5. A wire of length 15 cm is bent so as to lie along the circumference of...

    Text Solution

    |

  6. A circular wire of radius 3cm is cut and then bent so as to lie along ...

    Text Solution

    |

  7. Two arcs to the same length subtend angles 60^@ and 75^@ at the centre...

    Text Solution

    |

  8. A railway wheel of diameter 4 ft makes 6 revolutions per second. Find ...

    Text Solution

    |

  9. At what distance does a man whose height is 2 meters subtend angle of ...

    Text Solution

    |

  10. The distance of earth from the moon is 3,85,000 km and the moon 's di...

    Text Solution

    |

  11. A train is moving with a uniform velocity of 66 km per hour along a ci...

    Text Solution

    |

  12. The larger hand of a clock is 42 cm long , how many cm does its extrem...

    Text Solution

    |

  13. Find the radius of the earth , if an angle of 34'22" is subtended at i...

    Text Solution

    |

  14. The perimeter of the sector of a circle is equal to the circumference...

    Text Solution

    |

  15. The radius of the earth 6400 km and moon's distance from the earth is...

    Text Solution

    |

  16. If alpha1 and alpha2 be the circular measure of the angles subtended b...

    Text Solution

    |

  17. A horse running along a circular track of radius 27 ft passes over in ...

    Text Solution

    |

  18. If the diameter of the sun subtends an angle of 32' at the eye of the ...

    Text Solution

    |

  19. Two -circles of equal radii pass through each other's centre show that...

    Text Solution

    |

  20. Two circles pass through each each other's centre. If an arc of length...

    Text Solution

    |