Home
Class 10
MATHS
In DeltaABC, D and E are two such points...

In `DeltaABC`, `D` and `E` are two such points on the sides `AB` and `AC` respectively that `DE||BC`. If `AD=x+3`, `BD=3x+19`, `AE=x` and `CE=3x+4`, then the value of `x=`

A

`2`

B

`3`

C

`4`

D

`5`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos
  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos
  • SAMPLE QUESTIONS PAPERS

    CALCUTTA BOOK HOUSE|Exercise QUESTION|157 Videos
  • SIMPLE INTEREST

    CALCUTTA BOOK HOUSE|Exercise Long-answer type questions|37 Videos

Similar Questions

Explore conceptually related problems

In triangleABC , DE||BC. If AD = x, BD= x+3, AE = x-2, EC = x-4, then find the value of x.

In triangleABC , D and E are two points on AB and AC such that DE || BC and AD : BD = 3 : 2, then DE : BC =

The point D and E are situated on the sides AB and AC of DeltaABC in such a way that DE||BC and AD : DB=3 :1 , If EA=3.3cm , then the length of AC is

In the right-angled triangle ABC , /_B=90^(@) and the points D and E are on the sides AC and BC such that DE||AB . If AB=9cm , DE=3cm and AC=24cm , then find the value of AD .

In triangleABC , D and E are the points on AB and AC in such a way that DE||BC and AD:DB = 3:1. If EA = 3.6cm then AC=?

In Delta ABC, DE ||BC . AD = x , DB = x - 2 , AE = x + 2 and EC = -1 . Find the value of x.

In triangleABC , D and E lie on AB andAC respectively such that DE||BC and AD:DB = 3:1 then calcualte AE:EC.

If D,E and F are the middle points of the sides BC,CA and AB of the DeltaABC , then AD+BE+CF is

D, E and F are the mid-points of the sides AB, BC and CA of the DeltaABC . Prove that DeltaDEF=1/4DeltaABC .

In the figure D, E are points on the sides AB and AC respectively of DeltaABC such that ar(DeltaDBC) = ar(DeltaEBC) . Prove that DE || BC.

CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.1
  1. In DeltaPQR, PQ=24cm, PR=32cm and PS is the bisector of /QPR, where QS...

    Text Solution

    |

  2. In DeltaABC, (AB)/(AC)=(BD)/(DC). If /B=70^(@) and /C=50^(@) , then /B...

    Text Solution

    |

  3. In DeltaABC, D and E are two such points on the sides AB and AC respec...

    Text Solution

    |

  4. In DeltaABC the straight line DE parallel to BC intersects the other t...

    Text Solution

    |

  5. In DeltaABC, a straight line parallel to BC intersects the sides AB an...

    Text Solution

    |

  6. The straight line parallel to the side BC of DeltaABC intersects the s...

    Text Solution

    |

  7. If a straight line divides any two sides (or their extended sides) of ...

    Text Solution

    |

  8. If two or more than two triangles be equiangular and the ratios of the...

    Text Solution

    |

  9. If the shapes and sizes of two or more than two triangles be the same,...

    Text Solution

    |

  10. A straight line parallel to any side of any triangle divides other two...

    Text Solution

    |

  11. PQRS is a trapezium of which PS||QR. Its two diagonals PR and QS inter...

    Text Solution

    |

  12. In DeltaABC a straight line parallel to BC intersects the sides AB and...

    Text Solution

    |

  13. The line segments AB and PQ intersect each other at the point C. AP an...

    Text Solution

    |

  14. In DeltaPQR, /QPR=90^(@) and PDbotQR. If PR=8cm and PQ=6cm, then find ...

    Text Solution

    |

  15. In trapezium PQRS, PQ||SR. If PQ=6cm, SR=9cm and QS=15cm and the point...

    Text Solution

    |

  16. In trapezium PQRS, PQ||SR. If PQ=4 units , SR=6units . If the diagona...

    Text Solution

    |

  17. In DeltaPQR, A and B are two such points on PQ and PR respectively tha...

    Text Solution

    |

  18. In the right-angled triangle ABC, /B=90^(@) and the points D and E are...

    Text Solution

    |

  19. PSis perpendicular on the hypotenuse QR of the right-angled triangle P...

    Text Solution

    |

  20. In DeltaPQR, D and E are two such points on the sides PQ and PR that D...

    Text Solution

    |