Home
Class 10
MATHS
Two circles with centres O and O' of rad...

Two circles with centres O and O' of radii 3cm and 4 cm, respectively intersect at two points P and Q, such that OP and O' P are tangents to the two circles. Find the length of the common chord PQ.

Text Solution

Verified by Experts

The correct Answer is:
PQ = 4.8 cm
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 4.5|15 Videos

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO UNIT EXERCISE|13 Videos

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 4.3|8 Videos

  • CO-ORDINATE GEOMETRY

    PREMIERS PUBLISHERS|Exercise Other Important Objective|25 Videos

  • MENSURATION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|16 Videos

Similar Questions

Explore conceptually related problems

Two circles of radii 5 cm and 3 cm intersect at two points and the distance between their centres is 4 cm. Find the length of the common chord.

If two circles intersect at two points, then prove that their centres lie on the perpendicular bisector of the common chord.

O is the centre PM=4.05 cm Find chord PQ

Draw a circle with O as centre and radius 3.8 cm. Take two points P and Q such that anglePOQ=120^(@) Draw tangents at P and Q without using centre.

Draw a circle with centre A and radius 4 cm. Draw tangent segments PQ and PR from an external point P such that PQ=PR=3 cm. Find AP

Two circles with equal radii are intersecting at the points (0, 1) and (0,-1). The tangent at the point (0,1) to one of the circles passes through the centre of the other circle. Then the distance between the centres of these circles is.

Two circles of radii 5 . 5 cm and 3.3 cm respectively touch each other. What is the distance between their centres ?

Construct a circle with centre O and radius 3.5cm. Take a point on it, draw a tangent passing through point P.

PREMIERS PUBLISHERS-GEOMETRY-SOLUTION TO EXERCISE 4.4
  1. The length of the tangent to a circle from a point P, which is 25 cm a...

    Text Solution

    |

  2. Delta LMN is a right angled triangle with angle L=90^(@). A circle is ...

    Text Solution

    |

  3. A circle is inscribed in Delta ABC having sides 8 cm, 10 cm and 12 cm ...

    Text Solution

    |

  4. PQ is a tangent drawn from a point P to a circle with centre O and QOR...

    Text Solution

    |

  5. A tangent ST to a circle touches it at B. AB is a chord such that angl...

    Text Solution

    |

  6. In figure, O is the centre of the circle with radius 5 cm. T is a poin...

    Text Solution

    |

  7. In two concentric circles, a chord of length 16 cm of larger circle be...

    Text Solution

    |

  8. Two circles with centres O and O' of radii 3cm and 4 cm, respectively ...

    Text Solution

    |

  9. Show that the angle bisectors of a triangle are concurrent.

    Text Solution

    |

  10. In Delta ABC, with angle B=90^(@), BC=6 cm and AB=8 cm, D is a point o...

    Text Solution

    |

  11. An artist has created a triangular stained glass window and has one st...

    Text Solution

    |

  12. Draw a tangent at any point R on the circle of radius 3.4 cm and centr...

    Text Solution

    |

  13. Draw a circle of radius 4.5 cm. Take a point on the circle. Draw the t...

    Text Solution

    |

  14. Draw the two tangents from a point which is 10 cm away from the centre...

    Text Solution

    |

  15. Take a point which is 11 cm away from the centre of a circle of radius...

    Text Solution

    |

  16. Draw the two tangents from a point which is 5 cm away from the centre ...

    Text Solution

    |

  17. Draw a tangent to the circle from the point P having radius 3.6 cm, an...

    Text Solution

    |