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

In `triangle ABC` ,P is a point on BC such that BP : PC = 3 : 4 and Q is the midpoint of BP. Then `ar(triangle ABQ) :ar (triangle ABC)` is equal to:
त्रिभुज ABC में, P, BC पर स्थित एक ऐसा बिंदु है कि BP : PC = 3 : 4 है और Q, BP का मध्य बिंदु है | `ar(triangle ABQ) : ar(triangle ABC)` का मान ज्ञात करें |

A

`1:4`

B

`2 :7`

C

`3 :8`

D

`3 :14`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

In triangle ABC ,P is a point on BC such that BP : PC = 4 : 3 and Q is the midpoint of BP. Then ar(triangle ABQ) :ar (triangle ACB) is equal to: त्रिभुज ABC में, P, BC पर स्थित एक ऐसा बिंदु है कि BP : PC = 4 : 3 है और Q, BP का मध्य बिंदु है | ar(triangle ABQ) : ar(triangle ACB) का मान ज्ञात करें |

In triangle ABC ,P is a point on BC such that BP : PC = 4:5 and Q is the midpoint of BP. Then ar(triangle ABQ) : ar(triangle ABC) is equal to: त्रिभुज ABC में, P, BC पर स्थित एक ऐसा बिंदु है कि BP : PC = 4:5 है और Q, BP का मध्य बिंदु है | ar(triangle ABQ) : ar(triangle ABC) का मान ज्ञात करें |

In triangle ABC ,P is a point on BC such that BP : PC = 4 : 11 and Q is the midpoint of BP. Then ar(triangle ABQ) :ar (triangle ABC) is equal to: त्रिभुज ABC में, P, BC पर स्थित एक ऐसा बिंदु है कि BP : PC = 4 : 11 है और Q, BP का मध्य बिंदु है | ar(triangle ABQ) : ar(triangle ABC) का मान किसके बराबर होगा ?

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 ?

In triangle ABC ,P is a point on BC such that BP : PC = 2 : 3 and Q is the midpoint of BP. Then (triangle ABQ) : (triangle ABC) is equal to: त्रिभुज ABC में, P, BC पर स्थित एक ऐसा बिंदु है कि BP : PC = 2 : 3 है और Q, BP का मध्य बिंदु है | (triangle ABQ) : (triangle ABC) ज्ञात करें |

In DeltaABC , P is a point on BC such that BP : PC = 2 : 3 and Q is the midpoint of BP. Then ar (DeltaABQ): ar(DeltaABC) is equal to :

In Delta ABC , P is a point on BC such that BP:PC=4:5 and Q is the mid - point of BP. Then area (Delta ABQ) : area (Delta ABC) is equal to :

In triangle ABC , AD is median and P is the point on AD such that AP : PD = 3 : 4, then ar(triangle APB) :ar(triangle ABC) is equal to : त्रिभुज ABC में, AD मध्यिका है तथा P, AD पर स्थित ऐसा बिंदु है कि AP : PD = 3 : 4 है, तो ar(triangle APB) :ar(triangle ABC) का मान किसके बराबर होगा ?

In triangle ABC ,AD is a median and P is a point on AD such that AP : PD = 3 : 4. Then ar (triangle BPD): ar (triangle ABC) is equal to: त्रिभुज ABC में, AD एक माध्यिका है और P, AB पर स्थित ऐसा बिंदु है कि AP : PD = 3 : 4 है| ar (triangle BPD): ar (triangle ABC) ज्ञात करें |

In triangle ABC , AD is median and G is the point on AD such that AG: GD = 2: 1, then ar(triangle ABG) :ar(triangle ABC) is equal to : त्रिभुज ABC में, AD मध्यिका है तथा G, AD पर स्थित ऐसा बिंदु है कि AG: GD = 2 : 1 है, तो ar(triangle ABG) :ar(triangle ABC) का मान किसके बराबर होगा ?

PINNACLE-GEOMETRY-EXERCISE
  1. Chords AB and CD of a circle intersect at a point P inside the circle....

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  15. In a circle of radius 17 cm, a chord is at a distance of 8 cm from the...

    Text Solution

    |

  16. triangle ABC ~ triangle NLM and ar(triangle ABC) : ar(triangle LMN) =...

    Text Solution

    |

  17. In triangle ABC ,angle A=50^@. Its sides AB and AC are produced to th...

    Text Solution

    |

  18. ABCD is a cyclic quadrilateral such that AB is the diameter of the cir...

    Text Solution

    |

  19. The sides AB and AC of triangle ABC are produced to points D and E, re...

    Text Solution

    |

  20. In triangle ABC ,D and E are the points on sides AB and AC, respective...

    Text Solution

    |