Home
Class 10
MATHS
PT is a tangent to the circle at T. If...

PT is a tangent to the circle at T.
If `/_ABC=70^(@)` and `/_ACB=50^(@)`, calculate:
(i) `/_CBT`
(ii) `/_BAT`
(iii) `/_APT`

A

(i) `95^(@)` (ii) `35^(@)` (iii) `10^(@)`

B

(i) `90^(@)` (ii) `30^(@)` (iii) `10^(@)`

C

(i) `105^(@)` (ii) `35^(@)` (iii) `10^(@)`

D

(i) `90^(@)` (ii) `130^(@)` (iii) `110^(@)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (B)|18 Videos
  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (C)|42 Videos
  • TANGENTS AND INTERSECTING CHORDS

    ICSE|Exercise EXERCISE 18 (C)|42 Videos
  • SPECIMEN QUESTION PAPER (MATHEMATICS)

    ICSE|Exercise Section C|12 Videos
  • TRIGONOMETRICAL IDENTITIES

    ICSE|Exercise QUESTIONS|22 Videos

Similar Questions

Explore conceptually related problems

In the following figure PQ is the tangent to the circle at A, DB is the diameter and O is the centre of the circle. If /_ADB=30^(@) and /_CBD=60^(@) . Calculate : (i) /_QAB (ii) /_PAD (iii) /_CDB

In the given figure, ABCD is a cyclicquadrilateral, PQ is tangent to the circle at point C and BD is its diameter. If /_DCQ=40^(@) and /_ABD=60^(@) find (i) /_DBC (ii) /_BCP (iii) /_ADB

In the given figure QAP is the tangent at point A and PBD is a straight line. If /_ACB=36^(@) and /_APB=42^(@) , find (i) /_BAP (ii) /_ABD (iii) /_QAD (iv) /_BCD

In the given figure, XY is the diameter of the circle and PQ is a tangent to the circle at Y. If /_AXB=50^(@) and /_ABX=70^(@) find /_BAY and /_APY

In the given figure O is the centre of the circle. Tangents at A and B meet at C. If /_ACO=30^(@) find (i) /_BCO (ii) /_AOB (iii) /_APB

In the following figure PQ and PR are tangents to the circle with the centre O. If angleQPR = 60^(@) calculate (i) angleQOR (ii) angleOQR (iii) angleQSR

ABCDE is a cyclic pentagon with centre of its circumcircle alt point O such that AB=BC=CD and angle ABC=120^(@) Calculate (i) /_BEC (ii) /_BED

In the given figure O is the centre of the circle. The tangents at B and D intersect each other at point P. If AB is parallel to CD and /_ABC=55^(@) , find : (i) /_BOD (ii) /_BPD

In the figure given below, diameter AB and chord CD of a circle meet at P. PT is a tangent to the circle at T. CD =7.8 cm, PD = 5 cm, PB = 4 cm. Find (i) AB. (ii) The length of tangent PT.

If PQ is a tangent to the circle at R calculate (i) /_PRS (i) /_ROT Given O is the centre of the circle and angle TRQ=30^(@)

ICSE-TANGENTS AND INTERSECTING CHORDS-EXERCISE 18(A)
  1. Two concentric circles are of radii 5 cm and 3 cm. Find the length ...

    Text Solution

    |

  2. Three circles touch each other externally. A triangle is formed when t...

    Text Solution

    |

  3. A quadrilateral ABCD is ABCD is drawn to circumscribe a circle. Prove ...

    Text Solution

    |

  4. If the sides of a parallelogram touch a circle prove that the parallel...

    Text Solution

    |

  5. From the given figure, prove that : AP+BQ+CR=BP+CQ+AR Also show tha...

    Text Solution

    |

  6. In the figure if AB=AC then prove that BR=CR

    Text Solution

    |

  7. Radii of two circles are 6.3 cm and 3.6 cm. State the distance between...

    Text Solution

    |

  8. From a point P outside a circle, with centre O, tangents PA and PB are...

    Text Solution

    |

  9. In the given figure, two circles touch each other externally at point ...

    Text Solution

    |

  10. Tangents AP and AQ are drawn to a circle, with centre O, from an exter...

    Text Solution

    |

  11. Two parallel tangents of a circle meet a third tangent at points P and...

    Text Solution

    |

  12. ABC is a right angled triangle with AB=12 cm and AC=13 cm. A circle, w...

    Text Solution

    |

  13. In a triangle ABC, the incircle (centre O) touches BC , CA and AB at p...

    Text Solution

    |

  14. In the following figure PQ and PR are tangents to the circle with the ...

    Text Solution

    |

  15. In the giben figure, AB is the diameter of the circle, with centre O a...

    Text Solution

    |

  16. In quadrilateral ABCD angled D=90^(@), BC=38cm and DC=25cm. A circle i...

    Text Solution

    |

  17. In the given figure, PT touches the circle with centre O at point R. D...

    Text Solution

    |

  18. PT is a tangent to the circle at T. If /ABC=70^(@) and /ACB=50^(@), ...

    Text Solution

    |

  19. In the given figure, O is the centre of the circumcircle of triangleAB...

    Text Solution

    |

  20. In the given PQ is a tangent to the circle at A. AB and AD are bisecto...

    Text Solution

    |