Home
Class 10
MATHS
Diagonals of a trapezium PQRS intersect ...

Diagonals of a trapezium PQRS intersect each other at the point O, `PQ||RS` and PQ = 3 Rs. Find the ratio of the areas of `triangle POQ` and `triangle ROS`.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND PROBABILITY

    AGRAWAL PUBLICATION|Exercise EXAMPLE|124 Videos

Similar Questions

Explore conceptually related problems

Diagonals of a trapezium PQRS intersect each other at the point 0 ,PQ abs() RS and PQ=3 RS. Find the ratio of the areas of DeltaPOQ and DeltaROS .

Diagonals of a trapezium ABCD with AB || DC intersect each other at the point O. If AB = 2 CD, find the ratio of the areas of triangles AOB and COD.

Diagonals of a Trapezium DeltaBCD with AB || CD intersect each other at the point O. If AB = 2CD, then the ratio of the areas of Delta AOB and Delta COD is

In Delta PQR , the line drawn from the vertex P intersects QR at a point S. If QR = 4.5 cm and SR = 1.5 cm then the ratios of the area of triangle PQS and triangle PSR is

In the trapezium PQRS, PQ is parallel to RS and the ratio of the areas of the triangle POQ to triangle ROS is 225: 900 . Then SR= _________.

Lines PQ and RS intersect each other at point O. If /_POR:/_ROQ=5:7, find all the angles.

In Fig: 6.9 .lines PQ and RS intersect each other at point O.If /_POR:/_ROQ=5:7 find the all the angles.

In the given figure, chords PQ and RS intersect each other at point L. Find the lenth of RL.

AGRAWAL PUBLICATION-TRIANGLES-EXAMPLE
  1. In the figure, angle D = angle E and (AD)/(DB)=(AE)/(EC), prove that B...

    Text Solution

    |

  2. In triangle ABC, angle B = 90^@ and D is the mid point of BC. Prove th...

    Text Solution

    |

  3. Diagonals of a trapezium PQRS intersect each other at the point O, PQ|...

    Text Solution

    |

  4. In the figure, if AB||DC and AC, PQ intersect each other at the point ...

    Text Solution

    |

  5. In the given figure, if DE||BC, then find the ratio of ar(Delta ADE) a...

    Text Solution

    |

  6. ABCD is a trapezium in which AB||DC and P, Q are points on AD and BC r...

    Text Solution

    |

  7. Two right triangles ABC and DBC are drawn on the same hypotenuse BC an...

    Text Solution

    |

  8. Diagonals of a trapezium PQRS intersect each other at the point O, PQ|...

    Text Solution

    |

  9. In the given figure, if angle ACB = angle CDA, AC = 8 cm and AD = 3 cm...

    Text Solution

    |

  10. A 15 metres high tower coasts a shadow 24 metres long at a certain tim...

    Text Solution

    |

  11. If P and Q are the points on side CA and CB, respectively of triangle ...

    Text Solution

    |

  12. If the area of two similar triangles are equal, prove that they are co...

    Text Solution

    |

  13. There is a circular park of radius 24 m and there is a pole at a dista...

    Text Solution

    |

  14. There is a circular park of radius 24 m and there is a pole at a dista...

    Text Solution

    |

  15. D, E and F are respectively the mid points of the sides AB, AC and BC ...

    Text Solution

    |

  16. A flag pole 18 m high casts a shadow 9.6m long. Find the distance of t...

    Text Solution

    |

  17. If a line is drawn parallel to one side of a triangle to intersect oth...

    Text Solution

    |

  18. In the given figure, if PQRS is a parallelogram and AB||PS, then prove...

    Text Solution

    |

  19. triangle ABC figure, AD bot BC. Prove that AC^2 = AB^2 + BC^2 - 2BC xx...

    Text Solution

    |

  20. Prove that in a right angle triangle, the square of the hypotenuse is ...

    Text Solution

    |