Home
Class 14
MATHS
ABC is a triangle in which angleCAB = 80...

ABC is a triangle in which `angleCAB = 80^(@)` and `angleABC = 50^(@), AE, BF and CD` are the altitudes and O is the orthocentre. What is the value of `angleAOB` ?

A

`65^@`

B

`70^@`

C

`50^@`

D

`130^@`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • FUNCTIONS AND GRAPHS

    QUANTUM CAT|Exercise QUESTION BANK|286 Videos
  • LOGARITHM

    QUANTUM CAT|Exercise QUESTION BANK|159 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC if AD is the altitude and O is the orthocentre of Delta ABC then AO:OD=

In a triangle ABC, angleABC = 90^(@), angleACB = 30^(@), AB= 5 cm . What is the length of AC?

I is the incentre of the triangle ABC. If angleABC=60^(@) and angleACB=50^(@) then angleBIC is

In DeltaABC , AC = BC and angleABC = 50^(@) , the side BC is produced to D so that BC = CD then the value of angleBAD is

If PL, QM and RN are the altitudes of triangle PQR whose orthocentre is O, then Q is the orthocentre of the triangle

QUANTUM CAT-GEOMETRY-QUESTION BANK
  1. There are two circles each with radius 5 cm. Tangent AB is 26 cm. The ...

    Text Solution

    |

  2. One of diagonal of a parallelogram is 10 cm and an angle of the parall...

    Text Solution

    |

  3. ABC is a triangle in which angleCAB = 80^(@) and angleABC = 50^(@), AE...

    Text Solution

    |

  4. The largest bond angle in

    Text Solution

    |

  5. In the adjoning figure O is the centre of the circle and AB is the dia...

    Text Solution

    |

  6. In the given diagram O is the centre of the circle and CD is a tangent...

    Text Solution

    |

  7. In the given diagram, an incircle DEF is circumscribed by the right an...

    Text Solution

    |

  8. In the adjoining figure, a star is shown. What is the sum of the angle...

    Text Solution

    |

  9. ABCD is a rectangle of dimensions 6cmxx8cm. DE and BF are the perpendi...

    Text Solution

    |

  10. In the adjoining figure 'O' is the centre of circle. angleCAO = 25^(@)...

    Text Solution

    |

  11. In the given diagram ABCD is a cyclic quadrilateral angleOCB = 50 ^(@...

    Text Solution

    |

  12. ABC and CDE are right triangle. angleABC=angleCDE=90^@, D lies on AC a...

    Text Solution

    |

  13. In the above question (number 48) what is the ratio of CE:BE?

    Text Solution

    |

  14. In the given diagram triangleABC is an isosceles right angled triangle...

    Text Solution

    |

  15. An n sided polygon has 'n' diagonals, then the value of n is :

    Text Solution

    |

  16. How many distinct equilateral triangles can be formed in a regular non...

    Text Solution

    |

  17. ABC is a triangle in which D, E and F are the mid-points of the sides ...

    Text Solution

    |

  18. Three circles each of units radius intersects each other at P, Q and R...

    Text Solution

    |

  19. ABC is an isosceles triangle in which AB = AC and (angleA)= 2(angleB) ...

    Text Solution

    |

  20. In a triangle ABC, the two sides AB and AC are 36 cm and 30 cm, and th...

    Text Solution

    |