Home
Class 14
MATHS
In the given figure, B and C are the cen...

In the given figure, B and C are the centres of the two circles. ADE is the common tangent to the two circles. If the ratio of the radius of both the circles is 3 : 5 and AC = 40, then what is the value of DE?

A

a)`3sqrt(15)`

B

b)`5sqrt(15)`

C

c)`6sqrt(15)`

D

d)`4sqrt(15)`

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

Common tangent to two circles

In the above figure,A and B are the centres of two circles,DC being the common tangent. If /_DPR=35^(@), then /_RQC

In given figure, O is the centre of the circle. Which of the following is not the radius of the given circle?

In the given figure, the length of arc BC of the given circle is 44 cm. If O is the centre of circle, then what is the radius (In cm) of the circle ?

The length of a common internal tangent to two circles is 5 and a common external tangent is 15, then the product of the radii of the two circles is :

In the given figure. AB. AC and EF are tangents to a circle. If AC = 15 cm and DE = 3 cm. then the length of AE is:

In the given figure two circles touch each other at the point C. Prove that the common tangent at P and Q.

MOTHERS-GEOMETRY -MULTIPLE CHOICE QUESTIONS
  1. In the given figure, ABCD is a square whose side is 4 cm. P is a point...

    Text Solution

    |

  2. triangle ABC is similar to triangle PQR and AB: PQ = 2: 3. AD is the m...

    Text Solution

    |

  3. In the given figure, B and C are the centres of the two circles. ADE i...

    Text Solution

    |

  4. In the given figure, AB = 30 cm and CD = 24 cm. What is the value (in ...

    Text Solution

    |

  5. AB and AC are the two tangets to a circle whose radius is 6cm. If angl...

    Text Solution

    |

  6. In the given figure, ABC is a right angled triangle. angleABC=90^(@) a...

    Text Solution

    |

  7. In the given figure. 0 is centre of the circle. Circle has 3 tangents....

    Text Solution

    |

  8. In the given figure. Two identical circles of radius 4 cm touch each o...

    Text Solution

    |

  9. The radius of two circles s 3 cm and 4 cm. The distance between the ci...

    Text Solution

    |

  10. In given DeltaABC, E and D are interior points of AC and BC respective...

    Text Solution

    |

  11. The interior bisector of angleB and exterior bisector of angleC of Del...

    Text Solution

    |

  12. In DeltaABC, the bisector of angleA interseats BC at D. A perpendicula...

    Text Solution

    |

  13. In given figure ABCD square is inscribed in a circle. Point E is on th...

    Text Solution

    |

  14. Altitude AD of equilateral DeltaABC is a diameter of circle O. If the ...

    Text Solution

    |

  15. angleABC=30^(@),angleBCO=20^(@),angleOCD=20^(@),angleODC=?^(@)

    Text Solution

    |

  16. Two circles intersect in A and B, and the measure of the common chord ...

    Text Solution

    |

  17. Two circles are tangent internally at P and a chord, AB of the larger ...

    Text Solution

    |

  18. In equilateral DeltaABC. D is chosen on AC so that AD=(1)/(3)AC, and E...

    Text Solution

    |

  19. ABCD is a trapezium. An inner circle touches its all sides. Radius of ...

    Text Solution

    |

  20. DeltaABC is an equilateral triangle and OB, OD and OC are angle bisect...

    Text Solution

    |