Home
Class 14
MATHS
Two circles intersect each other at the ...

Two circles intersect each other at the points A and B, A straight line parallel to AB intersects the circles at C, D, E and F. If CD = 4.5 cm, then the measure of EF is

A

`6sqrt(3)cm^(2)`

B

`9sqrt(3)cm^(2)`

C

`(9)/(2)sqrt(3)cm^(2)`

D

`8sqrt(3)cm^(2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • DATA INTERPRETATION

    MOTHERS|Exercise MULTIPLE CHOICE QUESTIONS|372 Videos
  • LCM & HCF

    MOTHERS|Exercise MULTIPLE CHOICE QUESTION|200 Videos

Similar Questions

Explore conceptually related problems

Two circles intersect each other at the points P and Q. Two straight lines through P and Q intersect one circle at the points A and C and the other circle at B and D. Prove the AC|| BD

In figure, two circles intersect each other at points A and E. Their common secant through E intersects the circles at points B and D. The tangents of the circles at points B and D intersect each other at point C. Prove that square ABCD is cyclic.

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

Two circles intersect each other at point P and Q. Secants drawn through p and Q intersect the circles at points A,B and D,C Prove that : /_ ADC + /_ BCD = 180^(@)

In the figure, two circles intersect each other at points A and B. AP and AQ are the diameters of these circels. Prove that PBQ is a straight line.

Two circles intersect at two points B and C . Through B,two line segments ABD and PBQ are drawn to intersect the circles at A,D and P, Q respectively (see Fig.10.40). Prove that /_ACP=/_QCD

In the figure, two circles with centers O and P intersect each other at points D and C. Line AB intersects the circle with centre O at points A and B and touches the circle with centre P at point E. Prove /_ADE+/_BCE=180^(@) .

In the figure, two circles intersect each other at points A and B . C is a point on the smaller circle. Secant CA and secant CB of the smaller circle intersect the bigger circle at points D and E respectively then prove : seg DE || line CF

Two circles intersect in A and B, and the measure of the common chord bar(AB) = 10 cm. The line joining the centre cuts the circles in P and Q. If PQ = 3 cm, and the measure of the radius of one circle is 13 cm. Find the radius of the other circle.

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. In DeltaABC, D is the midpoint of side BC, E is mid point of AD, F is ...

    Text Solution

    |

  2. Diagonals AC and BD of quadrilateral ABCD meet at E. If AE = 2 cm, BE ...

    Text Solution

    |

  3. Two circles intersect each other at the points A and B, A straight lin...

    Text Solution

    |

  4. An isosceles triangle has a base of measure 4 cm and sides measuring 3...

    Text Solution

    |

  5. A circles O is tangent to the hypotenuse BC of isosceles right DeltaAB...

    Text Solution

    |

  6. Two circles with centres O(1) and O(2) touch each other externally at ...

    Text Solution

    |

  7. In given figure, a rectangle ABCD is inside a circle. Side AB is great...

    Text Solution

    |

  8. ABCD is a square of area = 144(4+2sqrt(3)) centres O(1)&O(2) of circle...

    Text Solution

    |

  9. If the measure of an acute triangle sides is 24, 10 and N. What is pos...

    Text Solution

    |

  10. If DeltaABC is an isosles triangle. Where AB = AC = 1 and D is a point...

    Text Solution

    |

  11. In the given figure ABC is a triangle. D is mid point of AB. Q is a po...

    Text Solution

    |

  12. The figure shows an equilateral DeltaABC with a line L passing through...

    Text Solution

    |

  13. In the given figure PQ and PR are tangents of a semicircle. Center O o...

    Text Solution

    |

  14. In the figure below, two circular curves create 60^(@) and 90^(@) with...

    Text Solution

    |

  15. In the given figure, ABC is a right triangle inscribed in a circle of ...

    Text Solution

    |

  16. It is given that in triangle ABC, M is midpoint of AC, circle of cent...

    Text Solution

    |

  17. In the given figure, find angle angleAEB. If Angle angleB is the right...

    Text Solution

    |

  18. In the figure given below, ABC is a triangle with AB = 9, AC = 11 and ...

    Text Solution

    |

  19. In triangle ABC, points D and E are on BC and AC respectively. If AD a...

    Text Solution

    |

  20. ABC is a triangle with sides 3, 4, 5. Let P be a point inside the Delt...

    Text Solution

    |