Home
Class 10
MATHS
In the following figure, AB, CD and EF a...

In the following figure, AB, CD and EF are perpendicular to the straight line BDF.

If `AB = x and, CD = z` unit and `EF = y ` unit, prove that : `1/x + 1/y = 1/z`

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)

    ICSE|Exercise EXERCISE 15(D)|18 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 figure is CD the perpendicular bisector of AB ?

In the adjoining figure AB||CD, find x and y

In the following figure if AB||CD, find the value of x.

In the following figure AB||CD||EF||GH and BH=100 cm. find x and y.

In each of the following figures, AB|| CD and EF is a transversal. Find the value of x in each case

In each of the following figures, AB|| CD and EF is a transversal. Find the value of x in each case

In each of the following figures, AB|| CD and EF is a transversal. Find the value of x in each case

In the given figure, AB||CD||EF . Find x, y and z

In the given figure, AB||CD||EF and AD||BE . Find x,y and z

In the following figure, AB = AC and AD is perpendicular to BC. BE bisects angle B and EF is perpendicular to AB. Prove that : (i) BD = CD (ii) ED = EF

ICSE-SIMILARITY (WITH APPLICATIONS TO MAPS AND MODELS)-EXERCISE 15(E)
  1. In the following figure, ABCD to a trapezium with AB // DC. If AB = 9 ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. If the areas of two similar triangles are equal, prove that they ar...

    Text Solution

    |

  19. The ratio between the altitudes of two similar triangles is 3 : 5, wri...

    Text Solution

    |

  20. The ratio between the altitudes of two similar triangles is 3 : 5, wri...

    Text Solution

    |