Home
Class 9
MATHS
Diagonals AC and BD of quadrilateral ABC...

Diagonals AC and BD of quadrilateral ABCD intersect each other at P. Show that ar `(APB) xx ar (CPD)` = ar `(APD)xx ar(BPC)`.

Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    SWAN PUBLICATION|Exercise OBJECTIVE TYPE QUESTIONS |20 Videos

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    SWAN PUBLICATION|Exercise EXERCISE 9.3|21 Videos

  • CIRCLES

    SWAN PUBLICATION|Exercise Objective Type Questions (Fill in the Blanks :)|10 Videos

Similar Questions

Explore conceptually related problems

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 quadrilateral ABCD interset at O such that OB = OD , If AB = Cd, then show that : ar(DCB) = ar(ACB)

The diagonal AC and BD of a rectangle ABCD intersect each other at P. if angleABD=50^@ and angleDPC =

The diagonals of a quadrilateral ABCD intersect each other at the point o Such that (AO)/(BO)=(CO)/(DO) , show that ABCD is trapezium.

If the medians of a triangleABC intersect at G, show that ar(AGB) = ar(AGC) = ar(BGC) = 1/3 ar(ABC)

If the medians of a triangleABC intersect at G, show that ar(AGB) = ar(AGC) = ar(BGC) = 1/3 ar(ABC)

If bisectors of /_A and /_B of a quadrilateral ABCD intersect each other at P, of /_B and /_C at Q, of /_C and /_D at R and of /_D and /_A at S, then PQRS is a

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

In Fig. 9.27, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that:- (i) ar (ACB) = ar (ACF) (ii) ar (AEDF) = ar (ABCDE)

SWAN PUBLICATION-AREAS OF PARALLELOGRAMS AND TRIANGLES -EXERCISE 9.4
  1. In Fig ., D and E are two points on BC such that BD = DE = EC . Sh...

    Text Solution

    |

  2. ABCD, DCFE and ABFE are parallelograms. Show that ar(ADE) = ar(BCF)

    Text Solution

    |

  3. ABCD is a parallelogram and BC is produced to a point Q such that AD =...

    Text Solution

    |

  4. ABC and BDE are two equilateral triangles such that D is the mid-point...

    Text Solution

    |

  5. ABC and BDE are two equilateral triangles such that D is the mid-point...

    Text Solution

    |

  6. In Fig ., ABC and BDE are two equilateral triangles such that ...

    Text Solution

    |

  7. ABC and BDE are two equilateral triangles such that D is the mid-point...

    Text Solution

    |

  8. ABC and BDE are two equilateral triangles such that D is the mid-point...

    Text Solution

    |

  9. ABC and BDE are two equilateral triangles such that D is the mid-point...

    Text Solution

    |

  10. Diagonals AC and BD of quadrilateral ABCD intersect each other at P. S...

    Text Solution

    |

  11. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  12. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  13. P and Q are respectively the midpoints of sides AB and BC or a triangl...

    Text Solution

    |

  14. In Fig ., ABC is a right triangle right angled at A. BCED , A...

    Text Solution

    |

  15. In Fig ., ABC is a right triangle right angled at A. BCED , A...

    Text Solution

    |

  16. In Fig ., ABC is a right triangle right angled at A. BCED , A...

    Text Solution

    |

  17. In Fig ., ABC is a right triangle right angled at A. BCED , A...

    Text Solution

    |

  18. ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squ...

    Text Solution

    |

  19. ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squ...

    Text Solution

    |

  20. ABC is a right triangle right angled at A. BCED, ACFG and ABMN are squ...

    Text Solution

    |