Home
Class 10
MATHS
ABCD is quadrilateral with AB parallel t...

ABCD is quadrilateral with AB parallel to DC. A line drawn parallel to AB meets AD at P and BC at Q. prove that `(AP)/(PD) = (BQ)/(QC)`

Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    FULL MARKS|Exercise THINKING CORNER|2 Videos

  • GEOMETRY

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (MULTIPLE CHOICE QUESTIONS)|23 Videos

  • DEPARTMENTAL MODEL PAPER

    FULL MARKS|Exercise PART-IV|3 Videos

  • MENSURATION

    FULL MARKS|Exercise ADDITIONAL QUESTIONS SOLVED (iii)|8 Videos

Similar Questions

Explore conceptually related problems

In the figure, ABCD is a cyclic quadrilateral in which DC produced to E and CF is drawn parallel to AB such that angleADC=80^(@) and angleECF=20^(@) , then BAD = ?

Bisector of angleB" and "angle C " in "DeltaABC meet each other at P. Line Ap cuts the side BC at Q. Then prove that : (AP)/(PQ)=(AB+BC)/(BC)

ABC is a triangle and through A, B, C lines are drawn parallel to BC, CA and AB respectively intersecting at P, Q and R. Prove that the perimeter of DeltaPQR is double the perimeter of DeltaABC.

If A,B,lC are three points on a line and B lies between A and C, then prove that AC-AB = BC

In trapezium ABCD, AB || DC. E and F are points on non-parallel sides AD and BC respectively such that EF || AB. Show that (AE)/(ED) = (BF)/(FC)

If ABCD is a quadrilateral and E and F are the midpoints of AC and BD respectively, then prove that vec(AB)+vec(AD)+vec(CB)+vec(CD)=4vec(EF) .

In angle ACD=90^(@) and CD bot AB . Prove that (BC^(2))/(AC^(2))=(BD)/(AD)

In trapezlum ABCD, AB || DC, E and F are points on non-parallel sides AD and BC respectively, such that EF || AB. Show that (AE)/(ED)=(BF)/(FC) .

ABCD is trapezium with AB || DC. The diagonal AC and BD intersect at E . If Delta AED ~ Delta BEC . Prove that AD = BC .

FULL MARKS-GEOMETRY-ADDITIONAL QUESTIONS SOLVED (ANSWER THE FOLLOWING QUESTIONS)
  1. A man sees the top of a tower in a mirror which is at a distance of 8...

    Text Solution

    |

  2. In Delta PQR , given that S is a point on PQ such that ST || QR and (...

    Text Solution

    |

  3. In Delta ABC, D and E are points on the sides AB and AC respectively s...

    Text Solution

    |

  4. In the figure , AC || BD and CE || DF . If OA = 12 cm, AB = 9cm , OC =...

    Text Solution

    |

  5. Check whether AD is bisector of angle Aof triangle ABC in each of the ...

    Text Solution

    |

  6. In a Delta ABC , AD is the internal bisector of angle A, meeting BC at...

    Text Solution

    |

  7. In the figure , tangent PA and PB are drawn to a circle with centre O ...

    Text Solution

    |

  8. ABCD is quadrilateral such that all of its sides touch a circle . If A...

    Text Solution

    |

  9. A man goes 10 m due east and then 24 m due north. Find the distance o...

    Text Solution

    |

  10. If in a Triangle ABC angleA = 80^o , angleB = 20^o what will angleC b...

    Text Solution

    |

  11. ABC is right - angled triangle at B. Let D and E be any two point on A...

    Text Solution

    |

  12. In figure O is any point inside a rectangle ABCD. Prove that OB^(2)+OD...

    Text Solution

    |

  13. A lotus is 20 cm above the water surface in a pond and its stem is par...

    Text Solution

    |

  14. In the figure , DE || BC and (AD)/(DB) = 3/5 , calculate the value of ...

    Text Solution

    |

  15. A boy is designing a diamond shaped kite , as shown in the figure wher...

    Text Solution

    |

  16. Find the unknown values in each of the following figures . All lengtha...

    Text Solution

    |

  17. The internal bisector of angle A of Delta ABC meets BC at D and the ex...

    Text Solution

    |

  18. ABCD is quadrilateral with AB parallel to DC. A line drawn parallel to...

    Text Solution

    |

  19. D is the midpoint of the side BC of Delta ABC . If P and Q are points ...

    Text Solution

    |

  20. ABCD is trapezium with AB || DC. The diagonal AC and BD intersect at E...

    Text Solution

    |