Home
Class 9
MATHS
Theorem:-7 If the line segment joining t...

Theorem:-7 If the line segment joining two points subtends equal angles at two other points lying on the same side of the line segment; the four points are concyclic. i.e lie on the same circle.

Text Solution

Verified by Experts

According to diagram we can say that
`/_ACB=/_ADB`.
Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA|Exercise All Questions|205 Videos
  • CONGRUENT TRIANGLE

    RD SHARMA|Exercise All Questions|291 Videos

Similar Questions

Explore conceptually related problems

If a line segment joining two points subtends equal angles at two other points lying on the sae side of the line segment; the four points are concyclic.

Direction ratio of the line segment joining two points

If the segment joining the points (a,b),(c,d) subtends a right angle at the origin,then

If the line segment joining the points A(a,b) and B(c,d) subtends an angle theta at the origin, then costheta is equal to

If the line segment joining the points A(a,b) and B (c, d) subtends a right angle at the origin, show that ac+bd=0

The mid point of the line segment joining the points (-5, 7) and (-1, 3) is

Prove that the line of centres of two intersecting circles subtends equal angles at the two points of intersection

Prove that the line of centres of two interesting circles subtends equal angles at the two points of intersection.

The mid-point of the line segment joining the points (- 2, 4) and (6, 10) is

If the line segment joining the points (3, 4) and (7, 7) passes through the point (k, 0), then find the value of k.

RD SHARMA-CIRCLE -All Questions
  1. A chord of a circle is equal to the radius of the circle find the angl...

    Text Solution

    |

  2. In Figure., A B C is a triangle in which /B A C=30^0dot Show that B C ...

    Text Solution

    |

  3. Theorem:-7 If the line segment joining two points subtends equal angle...

    Text Solution

    |

  4. In Figure, O A and O B ar respectively perpendiculars to chords C D an...

    Text Solution

    |

  5. Draw the graph of the fuction 4x+3y=12,at what pt it cut the coordinat...

    Text Solution

    |

  6. If two equal chords of a circle in intersect within the circle, prove ...

    Text Solution

    |

  7. prove that the line joining the mid-point of two equal chords of a c...

    Text Solution

    |

  8. Show that if two chords of a circle bisect one another they must be ...

    Text Solution

    |

  9. In Figure, equal chords A B and C D of a circle with centre O , cut at...

    Text Solution

    |

  10. Two equal circles intersect in P and Q . A straight line through P mee...

    Text Solution

    |

  11. Prove that all the chords of a circle through a given point within it,...

    Text Solution

    |

  12. Prove that the diameter is the greatest chord in a circle.

    Text Solution

    |

  13. Bisector A D of /B A C of A B C passes through the centre O of the ci...

    Text Solution

    |

  14. If two sides of a cyclic quadrilateral are parallel, prove that the ...

    Text Solution

    |

  15. The quadrilateral formed by angle bisectors of a cyclic quadrilateral ...

    Text Solution

    |

  16. If two non-parallel sides of a trapezium are equal, it is cyclic. OR A...

    Text Solution

    |

  17. If two opposite sides of a cyclic quadrilateral are equal, then the ...

    Text Solution

    |

  18. The sum of either pair of opposite angles of a cyclic quadrilateral is...

    Text Solution

    |

  19. If the chord of a circle is equal to the radius of the circle, then th...

    Text Solution

    |

  20. If one side of a cyclic quadrilateral is produced, then the exterior ...

    Text Solution

    |