Home
Class 10
MATHS
In the given figure, O is the centre of ...

In the given figure, `O` is the centre of a circle , `AB` is a chord and `AT` is the tangent at `A`. If `/_AOB=100^(@)` then `/_BAT` is equal to

A

`40^(@)`

B

`50^(@)`

C

`90^(@)`

D

`100^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Mark a point `C` in the alternate segment, Join `AC` and `BC`
`/_ACB=(1)/(2)/_AOB=(1)/(2)xx100^(@)=50^(@)` [`:'` angle at the centre is double the angle on the circle].
Now, `/_BAT=/_ACB=50^(@)` [angles in alternate segments].
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    RS AGGARWAL|Exercise Assertion-and-Reason|1 Videos

  • CIRCLES

    RS AGGARWAL|Exercise Test Yourself|20 Videos

  • CIRCLES

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|15 Videos

  • ARITHMETIC PROGRESSION

    RS AGGARWAL|Exercise Multiple Choice Questions (Mcq)|30 Videos

  • CONSTRUCTIONS

    RS AGGARWAL|Exercise Test Yourself|10 Videos

Similar Questions

Explore conceptually related problems

In Figure 1, O is the centre of a circle,PQ is a chord and PT is the tangent at P .If angle POQ =70, then angleTPQ is equal to

In the given figure, O is the centre of the circle. Name all chords of the circle.

In the given figure ,'O is the centre of circle ,PQ is a chord and the tangent PR at P makes an angle of 50^(@) with PQ ,then anglePOQ is equal to :

In the given figure, AB is the diameter of a circle with centre O and AT is a tangent. If /_AOQ=58^(@) , find /_ATQ .

In the given figure, O is the centre of the circle. Name a chord, which is not the diameter of the circle.

In the given figure,AB is diameter of a circle with centre O and AT is a tangent at /_AOQ=58^(@), find /_ATQ.

In the figure, O is the centre of a circle and AT is a tangent at point A. The measure of angle BAT is:

In given figure, O is the centre of the circle. A chord, which is not the diameter of the circle is

In the given figure, O is the centre of the circle. AB is tangent. AB =12 cm and OB = 13 cm . Find OA:

RS AGGARWAL-CIRCLES-Multiple-choice questions (MCQ)
  1. In the given figure, O is the centre of the circle. AB is the tangent ...

    Text Solution

    |

  2. In the given figure, PQ is a tangent to a circle with centre O. A is t...

    Text Solution

    |

  3. In the given figure, two circles touch each other at C and AB is a tan...

    Text Solution

    |

  4. O is the centre of a circle of radius 5cm. At a distance of 13cm from ...

    Text Solution

    |

  5. In the given figure, PQR is a tangent to the circle at Q, whose centre...

    Text Solution

    |

  6. In the given figure, O is the centre of a circle, BOA is its diameter ...

    Text Solution

    |

  7. In the figure, a circle touches the side DF of triangle EDF at H and t...

    Text Solution

    |

  8. In the figure, O is the centre of a circle,PQL and PRM are the tangent...

    Text Solution

    |

  9. In the given figure, a triangle PQR is drawn to circumscribe a circle ...

    Text Solution

    |

  10. In the given figure, QR is a common tangent to the given circles, touc...

    Text Solution

    |

  11. In the given figure, quad. ABCD is circumscribed, touching the circle ...

    Text Solution

    |

  12. In the given figure, quadrilateral ABCD is circumscribed, touching the...

    Text Solution

    |

  13. In the given figure, O is the centre of a circle , AB is a chord and A...

    Text Solution

    |

  14. In the given figure, a circle is inscribed in a quadrilateral ABCD tou...

    Text Solution

    |

  15. In the given figure, DeltaABC is right-angled at B such that BC=6cm an...

    Text Solution

    |

  16. In the given figure, PA and PB are tangents to the given circle such t...

    Text Solution

    |

  17. In the given figure, DE and DF are tangents from and external point D ...

    Text Solution

    |

  18. In the given figure, three circles with centres A, B, C respectively t...

    Text Solution

    |

  19. In the given figure, AP, AQ and BC are tangents to the circle. If AB=5...

    Text Solution

    |

  20. In the given figure, O is the centre of two concentric circles of radi...

    Text Solution

    |