Home
Class 14
MATHS
In triangle ABC ,P is a point on BC such...

In `triangle ABC` ,P is a point on BC such that BP : PC = 1 : 2 and Q is the mid point of BP. then, `ar(triangle ABQ) :ar (triangle ABC)` is equal to:
त्रिभुज ABC में, P, BC पर स्थित ऐसा बिंदु है कि BP : PC = 1 : 2 है और Q, BP का मध्य बिंदु है | तो `ar(triangle ABQ) :ar (triangle ABC)` का मान क्या होगा ?

A

`1 :3`

B

`1 :6`

C

`1 : 4`

D

`1 :5`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

PINNACLE-GEOMETRY-EXERCISE
  1. Two chords AB and CD of a circle, when produced, meet at a point P out...

    Text Solution

    |

  2. triangle ABC ~ triangle QRP and AB = 8 cm , BC = 12 cm and AC = 6 cm. ...

    Text Solution

    |

  3. In triangle ABC ,P is a point on BC such that BP : PC = 1 : 2 and Q is...

    Text Solution

    |

  4. Two chords AB and CD of a circle intersect at a point P inside the cir...

    Text Solution

    |

  5. In a circle with centre O, AB is the diameter and CD is a chord such t...

    Text Solution

    |

  6. triangle ABC ~ triangle RQP and PQ =10 cm, QR = 12 cm and RP = 16 cm. ...

    Text Solution

    |

  7. Chords AB and CD of a circle intersect at a point P inside the circle....

    Text Solution

    |

  8. In a circle with centre O, AB is a diameter and CD is a chord such tha...

    Text Solution

    |

  9. In triangle ABC ,P is a point on BC such that BP : PC = 3 : 4 and Q i...

    Text Solution

    |

  10. triangle ABC ~ triangle RQP and PQ = 10 cm QR = 12 cm and RP = 18 cm. ...

    Text Solution

    |

  11. triangle ABC ~ triangle EDF and ar(triangle ABC) : ar(triangle DEF) =...

    Text Solution

    |

  12. In a circle with centre O, an arc ABC subtends an angle of 140^@ at th...

    Text Solution

    |

  13. In triangle ABC ,P is a point on BC such that BP : PC = 4 : 3 and Q i...

    Text Solution

    |

  14. In a circle of radius 13 cm , a chord is at a distance of 12 cm from t...

    Text Solution

    |

  15. In a circle of radius 17 cm, a chord is at a distance of 15 cm from th...

    Text Solution

    |

  16. triangle ABC ~ triangle EDF and ar(triangle ABC) : ar(triangle DEF) =...

    Text Solution

    |

  17. In triangle ABC ,P is a point on BC such that BP : PC = 4:5 and Q is ...

    Text Solution

    |

  18. In a circle with centre O, an arc ABC subtends an angle of 136^@ at th...

    Text Solution

    |

  19. In triangle ABC ,P is a point on BC such that BP : PC = 4 : 11 and Q ...

    Text Solution

    |

  20. In a circle with centre O, an arc ABC subtends an angle of 110^@ at th...

    Text Solution

    |