Home
Class 10
MATHS
PQ and RS are two parallel tangents to a...

PQ and RS are two parallel tangents to a circle with centre O and another tangent AB wih point of contact C intersect PQ at A and RS at B. then find `angle AOB`

Text Solution

Verified by Experts

The correct Answer is:
`angle AOB = 90^@`
Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions|13 Videos
  • CIRCLES

    EDUCART PUBLICATION|Exercise SHORT ANSWER (SA-I) Type Questions|28 Videos
  • CBSE TERM-1 SAMPLE PAPER 2

    EDUCART PUBLICATION|Exercise Section -C|7 Videos
  • CONSTRUCTIONS

    EDUCART PUBLICATION|Exercise LONG ANSWER Type Questions|6 Videos

Similar Questions

Explore conceptually related problems

In Fig XY and X'Y' are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting XY and X'Y' at B , prove that angle AOB = 90^@

In Fig.10.13 , and and are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting contact C intersecting at B.Prove that /_AOB=90^(@)

l and m are two parallel tangents to a circle with centre O,touching the circle at A and B respectively.Another tangent at C intersects the line l at D and m at E.Prove that /_DOE=90^(@).

If PQ and PR be the two tangents to a circle with centre O such that /_QPR=120^(@) then /_POQ is

If Fig , AOB is diameter of a circle with centre O and AC is a tangent to the circle at A . If angle BOC = 130^@ , then find angleACO .

A is a point at a distance 10 cm from the centre O of a circle of radius 6cm . AP and AQ are the tangents to the circle at P and Q .If a tangent BC is drawn at a point R lying on the mirror are PQ to intersect AP at B and AQ at C, find the perimeter of the DeltaABC .

In the figure , PQ and PR are tangents drawn from and external point P to the circle with centre O. Q and R are the points of contact. If PQ = 5 cm then what is the length of segment PR ? Why ?

EDUCART PUBLICATION-CIRCLES-SHORT ANSWER (SA-II) Type Questions
  1. In Fig XY and X'Y' are two parallel tangents to a circle with centre ...

    Text Solution

    |

  2. Two tangents PQ and PR are drawn from an external point to a circle wi...

    Text Solution

    |

  3. In the adjoining figure, common tangents AB and CD to two circles inte...

    Text Solution

    |

  4. ABC is a right triangle in which angle B = 90^@. If AB = 8" cm" and BC...

    Text Solution

    |

  5. PQ and RS are two parallel tangents to a circle with centre O and anot...

    Text Solution

    |

  6. In Figure 4, PQ and PR are tangents drawn to a circle with centre O fr...

    Text Solution

    |

  7. In the given figure, PA and PB are tangents to a circle from an extern...

    Text Solution

    |

  8. A chord PQ of a circle is parallel to the tangent drawn at a point R ...

    Text Solution

    |

  9. Prove that a diameter AB of a circle bisects all those chords which ar...

    Text Solution

    |

  10. AB is a diameter of a circle with centre O and AT is a tangent. If ang...

    Text Solution

    |

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

    Text Solution

    |

  12. Prove that the length of the tangents drawn from an external point to ...

    Text Solution

    |

  13. In Fig, PQ is a tangent from an external point P to a circle with cent...

    Text Solution

    |

  14. In Fig , are two concentric circles of radii 6 cm and 4 cm with centre...

    Text Solution

    |

  15. From an external point P, two tangents PT and PS are drawn to a circle...

    Text Solution

    |

  16. Two tangents PA and PB are drawn to a circle with centre O from an ext...

    Text Solution

    |

  17. Prove that the tangent at any point of circle is perpendicular to the ...

    Text Solution

    |

  18. Prove that tangent drawn at the mid point of the are of a circle is pa...

    Text Solution

    |