Home
Class 10
MATHS
In fig., two circles with centres O, O' ...

In fig., two circles with centres O, O' touch externally at a point A. A line through A is drawn to intersect these circles in B and C. Prove that the tangents at B and C are parallel.

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

Two cocentric circle common centre O. A line 'l' intersects these circle A,B,C and D. Prove that AB = CD.

Two circles with centres O and O' intersect at P. Through P, a line 'l' parallel to a OO', meeting circles at C and D, is drawn. Prove that CD = 2OO'

O is the centre of the circle. Prove that anglex + angley = anglez

Two congruent circles intersect each other at points A and B. Through A any line segment PAQ is drawn so that P, Q lie on the two circles. Prove that BP = BQ.

Prove that the tangents drawn at the ends of a diameter of a circle are parallel.

ABCD is a parallelogram. The circle through A,B is so drawn that it intersects AD at P and CB at Q. Prove that P,Q,C and D are concyclic.

Two circles intersect at two points A and B. AD and AC are diameters to the two circles (see Fig.10.34). Prove that B lies on the line segment DC.

Draw any circle and mark points A, B and C such that C is in the interior of the circle .

MBD-Circles-Exercise
  1. Fill in blanks- A secant drawn to a circle intersect the circle in p...

    Text Solution

    |

  2. Fill in blanks- From a point outside a circle exactly tangents can b...

    Text Solution

    |

  3. Fill in blanks- The tangent at any point of a circle is to the radiu...

    Text Solution

    |

  4. A point P is 25 cm from the center of a circle. The radius of the circ...

    Text Solution

    |

  5. A point P is 20 cm from the center of a circle.The radius of the circl...

    Text Solution

    |

  6. A tangent PQ at a point P of a circle of radius 7 m meets a line throu...

    Text Solution

    |

  7. From a point Q, the length of the tangent to a circle is 24 cm and the...

    Text Solution

    |

  8. In Fig., if TP and TQ and two tangents to a circle with centre O so th...

    Text Solution

    |

  9. If tangents PA and PB from a point P to a circle with centre O are inc...

    Text Solution

    |

  10. Prove that the tangents drawn at the ends of a diameter of a circle ar...

    Text Solution

    |

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

    Text Solution

    |

  12. Prove that the parallelogram circumscribing a circle is a rhombus.

    Text Solution

    |

  13. A triangle ABC is drawn to circumscribe a circle of radius 4 cm such t...

    Text Solution

    |

  14. In the figure, two circles touch each other externally at C. Prove tha...

    Text Solution

    |

  15. If a rectangle be circumscribed about a circle prove that it is a squa...

    Text Solution

    |

  16. In fig., two circles with centres O, O' touch externally at a point A....

    Text Solution

    |

  17. Two circles touch externally at a point P. From a point T on the tange...

    Text Solution

    |

  18. Two tangents TP and TQ are drawn to a circle with centre O from an ext...

    Text Solution

    |