Home
Class 14
MATHS
I and O are incentre and circumcentre of...

I and O are incentre and circumcentre of a `Delta ABC`. AI is produced and it intersects the circumcircle at D. `angle ABC=x, angle BID=y & angle BOD=z`. Find `(z+x)/(y)`

A

3

B

1

C

2

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    KIRAN PUBLICATION|Exercise TRY YOURSELF|25 Videos

  • GEOMETRY

    KIRAN PUBLICATION|Exercise QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE- XIII)|70 Videos

  • DISCOUNT

    KIRAN PUBLICATION|Exercise Test Yourself |10 Videos

  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC , I and O are incentre and circumcentre, AI is extended which meet circumcircle at D. If angleBOD=z^(@), angleBID=y^(@) and angleABC=x^(@) then (x^(@)+y^(@))/(3y^(@)) is-

In a Delta ABC , BC is produced to D such that CD=AC is angle BAD=111^(@), angle ACB =80^(@) . Find angle ABC= ?

I in the incenter of DeltaABC. AI when produced meets the circumcircle of DeltaABC at D. If /_ABC=35^@ and /_ACB=70^@ then find: (i)/_IAB (ii)/_DBC (iii)/_BID

O is the circumcentre of the triangle ABC. If angle BAC =50^@ , then angleOBC is equal to

I is the incentre of Delta ABC of angle A = 46^@ , then angle BIC = ?

If in a Delta ABC (whose circumcentre is at the origin,a<=sin A, then for any point (x,y) insidethe circumcircle of Delta ABC, we have

KIRAN PUBLICATION-GEOMETRY-QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE- XIV)
  1. AC is the diameter of a circumcircle of DeltaABC. Chord ED is par alle...

    Text Solution

    |

  2. The length of the two sides forming the right angle of a right-angled ...

    Text Solution

    |

  3. I and O are incentre and circumcentre of a Delta ABC. AI is produced a...

    Text Solution

    |

  4. The radius of the circumcircle of a right angled triangle is 15 cm and...

    Text Solution

    |

  5. If the circumradius of an equilateral triangle ABC be 8 cm, then the h...

    Text Solution

    |

  6. Triangle PQR circumscribes a circle with centre O and radius r cm such...

    Text Solution

    |

  7. The radius of two concentric circles are 17cm and 10cm. A straight lin...

    Text Solution

    |

  8. P and Q are centres of two circles with radii 9 cm and 2 cm respective...

    Text Solution

    |

  9. O is the circumcentre of DeltaABC, given /BAC = 85^@ and /BCA = 55^@, ...

    Text Solution

    |

  10. ABC is an equilateral triangle and O is its circumcentre, then the /AO...

    Text Solution

    |

  11. O is the circumcentre of a triangle DeltaABC. The point A and the chor...

    Text Solution

    |

  12. In a circle if PQ is the diameter of the circle and R is on the cumfer...

    Text Solution

    |

  13. In DeltaABC, the angle bisector of angleBAC cut BC at D and meet the c...

    Text Solution

    |

  14. A chord of a circle is equal to its radius. The angle subtended by thi...

    Text Solution

    |

  15. ABC is a cyclic triangle and the bisectors of angle BAC, angle ABC and...

    Text Solution

    |

  16. From the circumcentre O of traingle ABC , perpendicular OD is drawn ...

    Text Solution

    |

  17. If O is the circumcentre of a triangle ABC lying inside the tri angle,...

    Text Solution

    |

  18. Point 'O' is the incentre of the DeltaPQR. If /POR = 115^@, then value...

    Text Solution

    |

  19. Let two chords AB and AC of the larger circle having same centre touch...

    Text Solution

    |

  20. O is the circumcentre of the isosceles DeltaABC. Given that AB = AC = ...

    Text Solution

    |