Home
Class 9
MATHS
In a circle with centre O , chords A Ba ...

In a circle with centre `O ,` chords `A Ba n dC D` intersect inside the circumference at `Edot` Prove that `/_A O C+/_B O D=2/_A E Cdot`

Promotional Banner

Topper's Solved these Questions

  • AREA OF PARALLELOGRAMS AND TRIANGLES

    RD SHARMA ENGLISH|Exercise All Questions|206 Videos

  • CONGRUENT TRIANGLE

    RD SHARMA ENGLISH|Exercise All Questions|290 Videos

Similar Questions

Explore conceptually related problems

In a circle with centre O , chords A B\ a n d\ C D intersect inside the circumference at E . Prove that /_A O C+\ /_B O D=2\ /_A E C

Two circle with centres A and B intersect at C and Ddot Prove that /_A C B=/_A D Bdot

Two straight lines A B\ a n d\ C D intersect one another at the point Odot If /_A O C+/_C O B+/_B O D=274^0, then /_A O D=

In Figure, A B=A C\ a n d\ D B=D Cdot\ Prove that /_A B D=/_A C D

If O is the circumcentre of /_\ A B C and O D_|_B C , prove that /_B O D=/_A

Two equal chords A B and C D of a circle with centre O , when produced meet at a point E , as shown in Figure. Prove that B E=D E and A E=C Edot

Two equal chords A B and C D of a circle with centre O , when produced meet at a point E , as shown in Figure, Prove that B E=D E and A E=C Edot

A B C D is a parallelogram. The circle through A ,Ba n dC intersects C D produced at E , prove that A E=A Ddot

A B C D is a parallelogram. The circle through A ,Ba n dC intersects C D produced at E , prove that A E=A Ddot

In Figure, O is the centre of the circle and B C D is tangent to it at Cdot Prove that /_B A C+/_A C D=90^0 .

RD SHARMA ENGLISH-CIRCLE -All Questions
  1. Two diameters of a circle intersect each other at right angles. Prove ...

    Text Solution

    |

  2. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

    Text Solution

    |

  3. In a circle with centre O , chords A Ba n dC D intersect inside the ci...

    Text Solution

    |

  4. A B C and A D C are two right triangles with common hypotenuse A Cdot ...

    Text Solution

    |

  5. Bisectors of angles A, B and C of a triangle ABC intersect its circ...

    Text Solution

    |

  6. Prove that the circle drawn with any side of a rhombus as a diameter, ...

    Text Solution

    |

  7. A Ca n dB D are chords of a circle that bisect each other. Prove that:...

    Text Solution

    |

  8. Prove that the mid-point of the hypotenuse of a right triangle is eq...

    Text Solution

    |

  9. In Figure, P , is any point on the chord B C of a circle such that A B...

    Text Solution

    |

  10. Two chords A B and C D of a circle are parallel and a line l is the pe...

    Text Solution

    |

  11. A circular park of radius 20m is situated in a colony. Three boys Anku...

    Text Solution

    |

  12. In an equilateral triangle, prove that the centroid and centre of the ...

    Text Solution

    |

  13. In Figure, l is a line intersecting the two concentric circles, whose ...

    Text Solution

    |

  14. In the Figure, O D is perpendicular to the chord A B of a circle whose...

    Text Solution

    |

  15. A B and C D are two chords of a circle such that A B=6c m ,C D=12c m a...

    Text Solution

    |

  16. A B and C D are two parallel chords of a circle such that A B=10c m an...

    Text Solution

    |

  17. P Q and R S are two parallel chords of a circle whose centre is O and ...

    Text Solution

    |

  18. A B and C D are two parallel chords of a circle whose diameter is A C ...

    Text Solution

    |

  19. If a diameter of a circle bisects each of the two chords of a circle, ...

    Text Solution

    |

  20. Prove that the line segment joining the mid points of two side of a...

    Text Solution

    |