Home
Class 14
MATHS
A, B and C are three points on a circle....

A, B and C are three points on a circle. The tangent at C meets BA extended at T. Given, `angleATC = 36^@ and angle ACT = 48^@`, the angle subtended by AB at the centre of the circle is

A

`96^@`

B

`72^@`

C

`84^@`

D

`48^@`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PRACTICE SET-2

    UPKAR PUBLICATION |Exercise PART-III Quantitative Aptitude|50 Videos

  • PRACTICE SET-4

    UPKAR PUBLICATION |Exercise PART-III QUANTATIVE APTITUDE|50 Videos

Similar Questions

Explore conceptually related problems

A, B, C are three point on a circle. The tangent at A meets BC produced at T, angleBTA=40^(@),angleCAT=44^(@) . The angle subtended by BC at the centre of the circle is -

The total plane angle subtended by a circle at its centre is

AB is a diameter of a circle with centre O. The tangents at C meets AB produced at Q. if angleCAB=34^(@) , then measure of is angleCBA is

In Fig. BOA is a diameter of a circle with centre O and the tangent at a point P meets BA extended at T . If angle ABP = 40^@ then anglePTA is equal to 40^@

A, B and C are the three points on a circle such that the angle subtendsed by the chords AB and AC at the centre O are 90^@ and 110^(@) respectively. angle BAC is equal to

Theorem 10.8 : The angle subtended by an arc at the centre is double the angle subtended by it at any point on the remaining part of the circle.

UPKAR PUBLICATION -PRACTICE SET-3-PART-III QUANTIATIVE APTITUTE
  1. Out of the fractions , (3)/(11), (2)/(9) , (5)/(13) , (7)/(17) and (8...

    Text Solution

    |

  2. Rajeev consistently runs 325 metre every day except on Sundays when he...

    Text Solution

    |

  3. The body weight of seven boys is recorded as 67 kg, 45 kg, 87 kg. 65 k...

    Text Solution

    |

  4. What will come in place of both the question marks (?) in the followin...

    Text Solution

    |

  5. Ranjeet purchased an item for Rs. 3,500 and sold it at the loss of 25%...

    Text Solution

    |

  6. How many bags are required for filling 2286 kg of wheat if each bag is...

    Text Solution

    |

  7. Six men can complete a piece of work in 48 hours. In how many hours wi...

    Text Solution

    |

  8. The length of a rectangle is 15 cm which is 6 cm less than the diamete...

    Text Solution

    |

  9. Amit's monthly income is two-fifth Rahul's monthly income. Rahul's mon...

    Text Solution

    |

  10. The average speed of a train is 4(1)/(3) times the average speed of a...

    Text Solution

    |

  11. If the distance between the points (x, 0) and (-7, 0) be 10 units, th...

    Text Solution

    |

  12. If x+1/x=6 then x^2+1/x^2, x^4+1/x^4

    Text Solution

    |

  13. If x+ (a)/(x) = b. the value of (x^2 + bx + a)/(bx^2 -x^3) is -

    Text Solution

    |

  14. Ifx+ y + z -13,then the maximum value of(x -2)(y+ 1) (z - 3) is

    Text Solution

    |

  15. The medians of a triangle ABC meet at G. If the area of the triangle b...

    Text Solution

    |

  16. The mid-points of AB and AC of a Delta ABC are respectively X and Y. I...

    Text Solution

    |

  17. Suppose AB is a diameter of a circle, whose centre is at O and C be an...

    Text Solution

    |

  18. In a DeltaABC, AB = AC and D is a point on AB, such that AD = DC = BC....

    Text Solution

    |

  19. A, B and C are three points on a circle. The tangent at C meets BA ext...

    Text Solution

    |

  20. If alpha + beta = 90^@ and alpha: beta = 2: 1, then the value of sin a...

    Text Solution

    |