Home
Class 14
MATHS
Diagonals AC and BD of a quadrilateral i...

Diagonals AC and BD of a quadrilateral intersect at O. It `AO:OC=1:2=BO:ODandAB=16cm` then DC is

A

`16cm`

B

`8cm`

C

`4cm`

D

`32cm`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos
  • CONGRUENCE AND SIMILAR TRIANGLES

    LUCENT PUBLICATION|Exercise EXERCISE-5B|8 Videos
  • CIRCLE AND ITS TANGENT LINES

    LUCENT PUBLICATION|Exercise EXERCISE 8B|27 Videos
  • ELEMENTARY TRIGONOMETRIC IDENTITIES

    LUCENT PUBLICATION|Exercise EXERCISE 11B|37 Videos

Similar Questions

Explore conceptually related problems

The diagonals AC and BD of a quadrilateral ABCD intersect at point 'O'. If BO = OD, then prove that the areas of Delta ABC and Delta ADC are equal

In Fig 9.25 ,diagonals AC and BD of quadrilateral ABCD intersect at O such that OB= OD.If AB=CD, then show that

In the figure, diagonals AC and BD of quadrilateral ABCD intersect at O such that OB = OD. If AB = CD, then show that ar( Delta DOC) = ar( Delta AOB)

In the adjoining figure, the diagonals AC and BD of a quadrilateral ABCD intersect at O. If BO = OD , prove that ar(triangleABC)=ar(triangleADC) .

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar( Delta AOD) = ar( Delta BOC). Prove that ABCD is a trapezium.

In the adjoining figure, the diagonals AC and BD of a quadrilateral ABCD intersect point O. Prove that : AB+BC+CD+DA lt 2(AC+BD)

Diagonals AC and BD of a quadrilateral ABCD intersect at O in such a way that ar (AOD)=ar(BOC). Prove that ABCD is a trapezium.

Diagonals AC and BD of a parallelogram ABCD intersect at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then,it is always true that

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA= 3 cm and OD = 2 cm, determine the lengths of AC and BD.

LUCENT PUBLICATION-CONGRUENCE AND SIMILAR TRIANGLES -EXERCISE-5A
  1. A line parallel to side BC of DeltaABC meets AB and AC respectively at...

    Text Solution

    |

  2. ABC is an equilateral triangle. P and Q are two points on bar(AB) and ...

    Text Solution

    |

  3. In DeltaABC, XY is parallel to BC and it divides the triangle into two...

    Text Solution

    |

  4. In triangle DeltaABC, points E and F lie on sides AB and AC such that ...

    Text Solution

    |

  5. Point D and E respectively lie on the sides AB and AC of a triangle su...

    Text Solution

    |

  6. If ratio of area of two similar triangles are 16:9 then ratio of perim...

    Text Solution

    |

  7. If area of two similar triangle are equal then ratio of their correspo...

    Text Solution

    |

  8. If ratio of area of two similar triangles are 64:81 and length of inte...

    Text Solution

    |

  9. Diagonals AC and BD of a quadrilateral intersect at O. It AO:OC=1:2=BO...

    Text Solution

    |

  10. In a triangle ABC, points D and E respectively lie on side AB and AC s...

    Text Solution

    |

  11. Point D lies on side BC of a DeltaABC such that angleADC=angleBAC. If ...

    Text Solution

    |

  12. Which of the following represents the sides of an acute angled triangl...

    Text Solution

    |

  13. Which of the following combination of sides results in the formation o...

    Text Solution

    |

  14. If the length of the three sides of a triangle are 6 cm, 8 cm and 10 c...

    Text Solution

    |

  15. If two sides of an obtuse angled triangle are 8 cm and 15 cm and third...

    Text Solution

    |

  16. If two sides of an obtuse angled triangle are 8 cm and 15 cm and third...

    Text Solution

    |

  17. In the DeltaABC, points M and N respectively lie on side AB and AC suc...

    Text Solution

    |

  18. line PQ meets triangle ABC such that P lies on AB and Q lies on AC. If...

    Text Solution

    |

  19. In the given figure PM.PR=PN.PQ and is such that 4 PM=3 PQ. If area of...

    Text Solution

    |

  20. ABC is a given triangle. A straight line EF is drawn parallel to BC. I...

    Text Solution

    |