Home
Class 10
MATHS
In the given figure, lines l and m are p...

In the given figure, lines l and m are parallel. Three concurrent lines through point O meet line l at points A, B and C, and line m at points P, Q and R as shown. Prove that : `(AB)/(BC) = (QR)/(PQ)`
 

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(A)|48 Videos
  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(B)|17 Videos
  • SIMILARITY

    ICSE|Exercise MULTIPLE CHOICE QUESTIONS (COMPETENCY BASED QUESTIONS)|10 Videos
  • SOLVING (SIMPLE) PROBLEMS (BASED ON QUADRATIC EQUATIONS)

    ICSE|Exercise Exercise 6(e )|18 Videos

Similar Questions

Explore conceptually related problems

In the following diagram, lines l, m and n are parallel to each other. Two transversals p and q intersect the parallel lines at points A, B, C and P, Q, R as shown. Prove that : (AB)/(BC) = (PQ)/(QR) Join A and R. Let AR meets BQ at point D.

In the given figure, line AB meets y-axis at point A. Line through C(2, 10) and D intersects line AB at right angle at point P. Find : co-ordinates of points E and D.

In the given figure, line AB meets y-axis at point A. Line through C(2, 10) and D intersects line AB at right angle at point P. Find : equation of line AB.

In the given figure, line AB meets y-axis at point A. Line through C(2, 10) and D intersects line AB at right angle at point P. Find : equation of line CD.

If lines AB,AC,AD and AE are parallel to a line l show that points A,B,C,D and E are collinear.

In the given figure, A B\ a n d\ C D are parallel lines intersected by a transversal P Q at L and M respectively. If /_L M D=35^0 find /_P L A .

In given figure,l abs() m and liner segments AB, CD and EF are concurrent at point P. Prove that (AE)/(BF)=(AC)/(BD)=(CE)/(FD)

In triangle ABC, P is the mid-point of side BC. A line through P and parallel to CA meets AB at point Q and a line through Q and a line through Q and parallel to BC meets median AP at point R. Prove that : BC=4QR .

In the given figure, A B and C D are parallel lines intersected by a transversal P Q at L and M respectively, If /_C M Q=60^0 find all other angles in the figure.

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(E)
  1. In the given figure, lines l and m are parallel. Three concurrent line...

    Text Solution

    |

  2. In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm ...

    Text Solution

    |

  3. In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm ...

    Text Solution

    |

  4. In the following figure, XY is parallel to BC, AX = 9 cm, XB = 4.5 cm ...

    Text Solution

    |

  5. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

    Text Solution

    |

  6. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

    Text Solution

    |

  7. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

    Text Solution

    |

  8. In the following figure, AB, CD and EF are perpendicular to the straig...

    Text Solution

    |

  9. Triangle ABC is similar to triangle PQR. If AD and PM are correspondin...

    Text Solution

    |

  10. Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of...

    Text Solution

    |

  11. Triangle ABC is similar to triangle PQR. If bisector of angle BAC meet...

    Text Solution

    |

  12. In the following figure, /AXY = /AYX.. If (BX)/(AX) = (CY)/(AY) , show...

    Text Solution

    |

  13. In the following diagram, lines l, m and n are parallel to each other....

    Text Solution

    |

  14. In the following figure, DE||AC and DC||AP. Prove that : (BE)/(EC) = (...

    Text Solution

    |

  15. In the figure given below, AB // EF // CD. If AB = 22.5 cm, EP = 7.5 c...

    Text Solution

    |

  16. In the figure given below, AB // EF // CD. If AB = 22.5 cm, EP = 7.5 c...

    Text Solution

    |

  17. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm.   Pro...

    Text Solution

    |

  18. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm. Find...

    Text Solution

    |

  19. In DeltaABC, /ABC = /DAC, AB = 8 cm,AC = 4 cm and AD = 5 cm. Find...

    Text Solution

    |

  20. In the given triangle P, Q and R are the mid points of sides AB, BC an...

    Text Solution

    |

  21. In the following figure, AD and CE are medians of DeltaABC. DF is draw...

    Text Solution

    |