Home
Class 8
MATHS
The given figure shows a parallelogram A...


The given figure shows a parallelogram ABCD whose diagonals intersect each other at point O. if OB=6 cm and AC is 6 cm more than BD, find OC.

A

`12cm`

B

`10cm`

C

`9cm`

D

`11cm`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SPECIAL TYPES OF QUADRILATERALS

    ICSE|Exercise EXERCISE|22 Videos
  • SETS

    ICSE|Exercise EXERCISE 6( E)|11 Videos
  • SQUARES AND SQUARE ROOTS

    ICSE|Exercise Exercise3 (C )|16 Videos

Similar Questions

Explore conceptually related problems

In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: OA xx OD = OB xx OC .

The given figure shows a parallelogram ABCD. E is a point in AD and CE produced meets BA produced at point F. If AE = 4 cm, AF = 8 cm and AB = 12 cm, find the perimeter of the parallelogram ABCD.

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.

The given figure shows a parallelogram ABCD with area 324sq. cm. P is a point in AB such that AP:PB= 1:2 . Find the area of DeltaAPD .

In the given figure, the diagonals AC and BD of a rectangle ABCD intersect each other at point O. If OA=2x+6 and OD=3x+3, find the value of x.

In the given figure, AE and BC intersect each other at point D. If /_CDE=90^(@),AB=5cm,BD=4 and CD=9 find AE

. Given: Parallelogram ABCD in which diagonals AC and CD intersect at M. Prove: M is mid-point of LN.

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point O. If BO: OD= 4: 7 , find DeltaDOC: DeltaAOB

In quadrilateral ABCD, the diagonals AC and BD intersect each other at point O. If AO = 2CO and BO = 2DO, show that: DeltaAOB is similar to DeltaCOD .

The given figure shows a trapezium in which AB is parallel to DC and diagonals AC and BD intersect at point O. If BO: OD= 4: 7 , find DeltaAOB: DeltaACB

ICSE-SPECIAL TYPES OF QUADRILATERALS-EXERCISE
  1. The given figure shows a parallelogram ABCD whose diagonals intersect ...

    Text Solution

    |

  2. In parallelogram ABCD, angleA=3cm times angleB. Find all the angles of...

    Text Solution

    |

  3. In parallelogram PQRS, angleQ=(4x-5)^(@) and angleS=(3x+10)^(@). Calcu...

    Text Solution

    |

  4. In rhombus ABCD: (i) if angleA=74^(@), find angleB and angleC. (ii...

    Text Solution

    |

  5. In square PQRS: (i) if PQ=3x-7 and QR=x+3, find PS. (ii) if PR=5x ...

    Text Solution

    |

  6. ABCD is a rectangle. If angleBPC=124^(@). Calculate: (i) angleBA...

    Text Solution

    |

  7. ABCD is a rhombus. If angleBAC=38^(@), find: (i) angleACB (ii) ang...

    Text Solution

    |

  8. ABCD is a rhombus. If angleBCA=35^(@), and angleADC.

    Text Solution

    |

  9. PQRS is a parallelogram whose diagonals intersect at M. if anglePMS=...

    Text Solution

    |

  10. . Given: Parallelogram ABCD in which diagonals AC and CD intersect...

    Text Solution

    |

  11. In an isosceles-trapezium, show that the opposite angles are supplemen...

    Text Solution

    |

  12. ABCD is a parallelogram. What kind of quadrilateral is it if: (i) AC...

    Text Solution

    |

  13. Prove that the diagonals of a parallelogram bisect each other.

    Text Solution

    |

  14. If the diagonals of a parallelogram are of equal lengths, the parallel...

    Text Solution

    |

  15. In parallelogram ABCD, E is the mid-point of AD and F is the mid-point...

    Text Solution

    |

  16. In parallelogram ABCD, E is the mid-point of side AB and CE bisect ang...

    Text Solution

    |

  17. In the alongside diagram, the bisectors of interior angles of the para...

    Text Solution

    |

  18. In parallelogram ABCD, X and Y are mid-points of opposite sides AB and...

    Text Solution

    |

  19. The given figure shows parallelogram ABCD. Points M and N lie in diago...

    Text Solution

    |

  20. . The given figure shows a rhombus ABCD in which angle BCD=80^(@). F...

    Text Solution

    |

  21. Use the information given in the following diagram to find the values ...

    Text Solution

    |