Home
Class 14
MATHS
In triangle ABC, F and E are the points ...

In `triangle ABC`, F and E are the points on sides AB and AC respectively, such that FE || BC and FE divides the triangle in two parts of equal area. If `AD bot BC` and AD intersect FE at G, then GD: AG = ?
`triangle ABC` में F और E क्रमशः भुजा AB और AC पर स्थित ऐसे बिंदु हैं कि FE || BC है तथा FE त्रिभुज को बराबर क्षेत्रफल वाले दो भागों में विभाजित करती है | यदि `AD bot BC` है और AD, FE को G पर काटती है, तो GD: AG = ?

A

`sqrt(2):1`

B

`(sqrt(2)-1) : 1 `

C

`2sqrt(2) : 1 `

D

`(sqrt(2) +1) : 1 `

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    KIRAN PUBLICATION|Exercise QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE-II)|25 Videos

  • GEOMETRY

    KIRAN PUBLICATION|Exercise QUESTIONS ASKED IN PREVIOUS SSC EXAMS (TYPE-III)|109 Videos

  • DISCOUNT

    KIRAN PUBLICATION|Exercise Test Yourself |10 Videos

  • LCM AND HCF

    KIRAN PUBLICATION|Exercise Test Yourself |18 Videos

Similar Questions

Explore conceptually related problems

In triangle ABC , D and E are the points on sides AB and BC respectively such that DE || AC. If AD : DB = 5 : 3, then what is the ratio of the area of triangle BDE to that of the trapezium ACED?

In triangle ABC, D and E are two points on the sides AB and AC respectively so that DE || BC and AD/BD =3/4 .The ratio of the area of triangle ABC to the area of trapezium DECB is : त्रिभुज ABC में,D और E क्रमशः भुजा AB और AC पर स्थित ऐसे बिंदु है कि DE ||BC है और AD/BD =3/4 है | त्रिभुज ABC के क्षेत्रफल तथा समलम्ब DECB के क्षेत्रफल में अनुपात ज्ञात करें |

In Delta ABC, D and E are the points on sides AB and BC respectively such that DE || AC. If AD : DB = 5 : 3, then what is the ratio of the area of Delta BDE to that of the trapezium ACED ?

In triangle ABC, D and E are two points on the sides AB and AC respectively so that DE || BC and AD/BD =5/6 .The ratio of the area of triangle ABC to the area of trapezium DECB is : त्रिभुज ABC में,D और E क्रमशः भुजा AB और AC पर स्थित ऐसे बिंदु है कि DE ||BC है और AD/BD =5/6 है | त्रिभुज ABC के क्षेत्रफल तथा समलम्ब DECB के क्षेत्रफल के बीच अनुपात ज्ञात करें |

In triangle ABC ,D and E are the points on sides AB and AC, respectively, such that DE || BC. If AD /BD = 3/4 ,Then ratio of the area of trapezium DECB to the area of triangle ABC is: त्रिभुज ABC में, D तथा E भुजा AB और AC पर स्थित ऐसे बिंदु हैं कि DE || BC और AD/BD = 3/4 है | समलम्ब DECB के क्षेत्रफल और त्रिभुज ABC के क्षेत्रफल में अनुपात ज्ञात करें ।

In triangle ABC ,D and E are the points on sides AB and AC, respectively, such that DE || BC. If DE : BC is 3 : 5, then (Area of triangle ADE ): (Area of quadrilateral DECB) is: त्रिभुज ABC में, D तथा E भुजा AB और AC पर स्थित ऐसे बिंदु हैं कि DE || BC है | यदि DE : BC= 3 : 5, है, तो ( triangle ADE का क्षेत्रफल ): ( DECB का क्षेत्रफल ) ज्ञात करें |

In triangle ABC ,D and E are the points on sides AB and AC, respectively, such that DE || AC. If AD : DB = 5:3 then what is the ratio of the area of triangle BDE to that of the trapezium ACED ?/ त्रिभुज ABC में, D तथा E क्रमशः भुजा AB और BC पर स्थित ऐसे बिंदु हैं कि DE || AC है | यदि AD : DB = 5 : 3 है, तो त्रिभुज BDE के क्षेत्रफल और समलम्ब ACED के क्षेत्रफल में अनुपात ज्ञात करें |

KIRAN PUBLICATION-GEOMETRY-TRY YOURSELF
  1. In triangle ABC, F and E are the points on sides AB and AC respectivel...

    Text Solution

    |

  2. The angles of a triangle are in the ratio of 1:2:3. What will be the r...

    Text Solution

    |

  3. In Delta ABC, AB = 6 cms, BC = 10 cms, AC = 8cm and ADIBC. Find the va...

    Text Solution

    |

  4. ABC is a right angled triangle in which /C = 90^@. If BC = a, AB = c ,...

    Text Solution

    |

  5. Two chords AB and CD of a circle with centre O intersect at point P wi...

    Text Solution

    |

  6. Two circles whose radii are 10 cm and 8 cm,intersect each other and th...

    Text Solution

    |

  7. A triangle ABC is inscribed in a circle and the bisectors of the angle...

    Text Solution

    |

  8. PQRS is a rhombus in which /SPQ = 64^@. Equilateral triangles PXQ and ...

    Text Solution

    |

  9. Tangents PT and QT are drawn on a circle of radius 5 cm from point T w...

    Text Solution

    |

  10. PQ is a chord of length 8 cm, of a circle with centre O and of radius ...

    Text Solution

    |

  11. AB = 2r is the diameter of a circle. If a chord CD Interests AB at rig...

    Text Solution

    |

  12. ABCD is a trapezium in which AB is parallel to DC, AD = BC, AB = 6 cm,...

    Text Solution

    |

  13. The diagram below represents three circular garbage cans, each of diam...

    Text Solution

    |

  14. In the given figure, AB||CD, then the value of x will be

    Text Solution

    |

  15. The parallel sides AB and CD of a trapezium ABCD are 9 cm and 3 cm res...

    Text Solution

    |

  16. If D, E and Fare the mid points of BC, CA and AB respectively of the A...

    Text Solution

    |

  17. A chord AB of length 16 cm is drawn in a circle of diameter 20 cm. If ...

    Text Solution

    |

  18. In DeltaPQR ,right-angled at Q,X,Y and Z are points on sides PR, RQ an...

    Text Solution

    |

  19. In the given figure, the tangent at C meets the diameter AB produced a...

    Text Solution

    |

  20. Three circles of diameter 24 cm each touch each other externally. Find...

    Text Solution

    |

  21. In right-angled DeltaABC, D and E trisect BC. Find the value of 8 ((A...

    Text Solution

    |