Home
Class 10
MATHS
In Fig.10.13, XYandX'Y' are two paralle...

In Fig.10.13, XYandX'Y' are two parallel tangent to a circle with centre O and another tangent AB with point of contact C intersecting XY at A and X'Y' at B.Prove that`angleAOB=90^@`.

Promotional Banner

Topper's Solved these Questions

  • CIRCLES

    R G PUBLICATION|Exercise EXERCISE|34 Videos

  • ARITHMETIC PROGRESSION

    R G PUBLICATION|Exercise EXERCISE|122 Videos

  • CO-ORDINATE GEOMETRY

    R G PUBLICATION|Exercise EXERCISE|70 Videos

Similar Questions

Explore conceptually related problems

AB and CD are two parallel tangents to a circle with centre O. ST is a tangent segment between the parallel tangents touching the circle at Q. Show that angleSOT=90^@

If two parallel tangents drawn to a circle with centre O are intersected at the points D and E respectively by a tangent drawn at another point on the circle,then show that angleDOE=90^@

In Fig.10.11,if TP and TQ are the tangent to a circle with centre O so that anglePOQ=110^@ then anglePTQ is equal to a) 60^@ b) 70^@ c) 80^@ d) 90^@

PA and PB are two tangents drawn from an external point P at the points A and B on a circle with centre O.If another tangent to the circle intersects PA and PB at L and M respectively,show that LM=AL+BM.

Two tangents PA and PB are drawn to circle with centre O from an external point P. Prove that angleAPB= 2angleOAB

The line joing the points of contact of two parallel tangents to a circle passes through the centre.Prove it.

Prove that the perpendicular at the points of contact to the tangents to a circle passes through the centre.

If CP and CQ are tangent from an external point C to a circle centered at O. AB is another tangent which touches the circle at R. Of CP =11 cm and BR = 4 cm , find the length of BC.

PA and PB are two tangents drawn from an external point P at the points A and B on a circle C(0,r).Prove that OP_|_AB

Show that the tangent at no point on the curve y= x^3 + 3x can be parallel to the X-axis.

R G PUBLICATION-CIRCLES-EXERCISE
  1. The length of a tangent from a point A at distance 5 cm from the centr...

    Text Solution

    |

  2. Two concentric circles are of radii 5 cm and 3 cm.Find the length of t...

    Text Solution

    |

  3. In Fig.10.13, XYandX'Y' are two parallel tangent to a circle with cen...

    Text Solution

    |

  4. Prove that the angle between the two tangents drawn from an external p...

    Text Solution

    |

  5. Prove that parallelogram circumscribing a circle is a rhombus.

    Text Solution

    |

  6. Prove that opposite sides of a quadrilateral circumscribing a circle s...

    Text Solution

    |

  7. In figure ,if AD,AE, and BC are tangents to the Circle at D,E and F re...

    Text Solution

    |

  8. In the adjacent figure if AB=12 cm,BC=8cm and AC=10 cm then the value ...

    Text Solution

    |

  9. In figure the perimeter of triangle ABC is

    Text Solution

    |

  10. In figure AP is a tangent to the circle with centre O such that OP=4cm...

    Text Solution

    |

  11. In figure if AP=PB then

    Text Solution

    |

  12. In figure if AP=10cm then the value of BP will be

    Text Solution

    |

  13. In figure if AB=8cm and PE=3cm then the value of AE will be

    Text Solution

    |

  14. In figure PQ and PR are tangents drawn from P to a circle with centre ...

    Text Solution

    |

  15. In figure RQ is a tangent to the circle with centre O.If PQ=6cm and QR...

    Text Solution

    |

  16. In figure if Quadrilateral PQRS circumscribes a circle then PD+QB=

    Text Solution

    |

  17. In figure two equal circles touch each other at T if QP =4.5 cm then Q...

    Text Solution

    |

  18. A line which touches the circle is known as

    Text Solution

    |

  19. tangent can be drawn through a point on a circle.

    Text Solution

    |

  20. Tangents at the end points of a diameter are

    Text Solution

    |