Home
Class 14
MATHS
In the figure given below (not drawn to ...

In the figure given below (not drawn to scale), A, B and C are three points on a circle with centre O. The chord BA is extended to a point T such that CT becomes a tangent to the circle at point C. If `angle ATC = 30^(@) and angle ACT = 50^(@)`, then the angle `angle BOA` is :

A

`100^(@)`

B

`150^(@)`

C

`80^(@)`

D

not possible to determine

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • BOATS AND STREAM

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS |39 Videos

  • COMPOUND INTEREST

    ADVANCED MATHS BY ABHINAY MATHS ENGLISH|Exercise QUESTIONS |159 Videos

Similar Questions

Explore conceptually related problems

In the figure XY is a tangent to the circle with centre O at A. If angle BAX = 70^(@), angle BAQ = 40^(@) then angle ABQ is equal to :

In the given figure, angle PQR = 100^(@), where P, 9 and R are points on a circle with centre O. Find angle OPR.

In the given, figure , O is the centre of the circle and AD is a tangent to the circle at.A if angle CAD =55^@ and angle ADC=25^@ , then find angle ABO .

PQ is tangent at a point R of the circle with centre O. If ST is a diameter of the circle and angle TRQ = 30^(@) find angle PRS

From the external point P tangents PA and PB are drawn to a circle with centre O. If angle PAB = 50^(@) , then find angle AOB .

In the figure, O is the centre of the circle and LN is a diameter. If PQ is a tangent to the circle at K and angle KLN = 30^(@) , find angle PKL .

ADVANCED MATHS BY ABHINAY MATHS ENGLISH-CIRCLE -MUTLIPLE CHOICE QUESTIONS
  1. C is a point on the minor arc AB a circle with centre O. If angle AOB ...

    Text Solution

    |

  2. In the given figure if angle PAQ = 59^(@), angle APD = 40^(@), then wh...

    Text Solution

    |

  3. In the figure given below (not drawn to scale), A, B and C are three p...

    Text Solution

    |

  4. C is a point on the minor arc AB of the circle with centre O. Given an...

    Text Solution

    |

  5. PQ and RS are two parallel chords of a circle whose centre is O and ra...

    Text Solution

    |

  6. In a circle with centre O, chords AB and CD intersect inside the circu...

    Text Solution

    |

  7. PBA and PDC are two secants. AD is the diameter of the circle with cen...

    Text Solution

    |

  8. If a circle with radius of 10 cm and two parallel chords 16 cm and 12 ...

    Text Solution

    |

  9. If the following figure, O is the centre of the circle and XO is perpe...

    Text Solution

    |

  10. Two circles of radii 4 cm and 9 cm respectively touch each other exter...

    Text Solution

    |

  11. Two tangents are drawn from a point P to a circle at A and B. O is the...

    Text Solution

    |

  12. PQ is a direct common tangent of two circles of radii r(1) and r(2) to...

    Text Solution

    |

  13. BC is a chord to a circle with centre O. A is a point on major are BC ...

    Text Solution

    |

  14. In the figure given above, A is the centre of the circle and AB = BC =...

    Text Solution

    |

  15. In the given figure, AB is a diameter of a circle and CD is perpendicu...

    Text Solution

    |

  16. In the given figure, angle AOC = 120^(@). Find angle CBE, where O is t...

    Text Solution

    |

  17. The third proportional to 9 and 12 is ?

    Text Solution

    |

  18. Two circles of radius 4 units and 3 units are at some distance such th...

    Text Solution

    |

  19. O is the centre of a circle. AC and BD are two chords of the circle in...

    Text Solution

    |

  20. The tangents at two points A and B on the circle with centre O interse...

    Text Solution

    |