Home
Class 10
MATHS
In Fig. 6.20, DE||OQ and DF||OR.Show tha...

In Fig. 6.20, `DE||OQ and DF||OR`.Show that `EF||QR`.

Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    R G PUBLICATION|Exercise EXERCISE|108 Videos

  • SURFACE AREA AND VOLUMES

    R G PUBLICATION|Exercise EXERCISE|69 Videos

Similar Questions

Explore conceptually related problems

In Fig., A, B and C are points on OP, OQ and OR respectively such that AB||PQ and AC||PR .Show that BC||QR .

In Fig. DE||AC and DF||AE .Prove that (BF)/(FE)=(BE)/(EC)

Fig.6.45,O is a point in the interior of a triangle ABC, OD_|_BC,OE_|_AC and OF_|_AB .Show that (ii) AF^2+BD^2+CE^2=AE^2+CD^2+BF^2

In Fig.6.45,O is a point in the interior of a triangle ABC, OD_|_BC,OE_|_AC and OF_|_AB .Show that (i) OA^2+OB^2+OC^2-OD^2-OE^2-OF^2=AF^2+BD^2+CE^2

PQR is a triangle right angled at P and M is a point on QR such that PM_|_QR .Show that PM^2=QM.MR .

In Fig.6.53,ABD is a triangle right angle at A and AC_|_BD .Show that (iii) AD^2=BD.CD .

In Fig.6.53,ABD is a triangle right angle at A and AC_|_BD .Show that (i) AB^2=BC.BD .

In Fig.6.53,ABD is a triangle right angle at A and AC_|_BD .Show that (ii) AC^2=BC.DC .

Sides AB and BC and median AD of a triangle ABC are respeetively proportional to sides PQ and QR and median PM of trianglePQR (see Fig. 6.41). Show that triangleABC~trianglePQR .

In FIg. 6.40, E is a point on side CB produced of an isosceles triangle ABC with AB=AC. If AD_|_BC and EF_|_AC , prove that triangleABD~triangleECF .

R G PUBLICATION-TRIANGLES-EXERCISE
  1. In Fig. , if LM||CB and LN||CD,prove that (AM)/(AB)=(AN)/(AD)

    Text Solution

    |

  2. In Fig. DE||AC and DF||AE.Prove that (BF)/(FE)=(BE)/(EC)

    Text Solution

    |

  3. In Fig. 6.20, DE||OQ and DF||OR.Show that EF||QR.

    Text Solution

    |

  4. In Fig., A, B and C are points on OP, OQ and OR respectively such that...

    Text Solution

    |

  5. Using Theorem 6.1, prove that a line drawn through the mid-point of on...

    Text Solution

    |

  6. Using Theorem 6.2, prove that the line joining the mid-points of any t...

    Text Solution

    |

  7. ABCD is a trapezium in which AB||DCand its diagonals intersect each ot...

    Text Solution

    |

  8. The diagonals of a quadrilateral ABCD intersect each other at the poin...

    Text Solution

    |

  9. State which pairs of triangles in Fig. are similar. Write the similari...

    Text Solution

    |

  10. State which pairs of triangles in Fig. are similar. Write the similari...

    Text Solution

    |

  11. State which pairs of triangles in Fig.are similar. Write the similarit...

    Text Solution

    |

  12. State which pairs of triangles in Fig.are similar. Write the similarit...

    Text Solution

    |

  13. State which pairs of triangles in Fig.are similar. Write the similarit...

    Text Solution

    |

  14. State which pairs of triangles in are similar. Write the similarity cr...

    Text Solution

    |

  15. In Fig. 6.35, triangleODC~triangleOBA,angleBOC=125^@ and angle CDO=70^...

    Text Solution

    |

  16. Diagonals AC and BD of a trapezium ABCD with AB||DC intérsect each oth...

    Text Solution

    |

  17. In Fig. 6.36, (QR)/(QS)=(QT)/(PR) and angle 1=angle 2.Show that triang...

    Text Solution

    |

  18. S and T are points on sides PR and QR of triangle PQR such that angleP...

    Text Solution

    |

  19. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

    Text Solution

    |

  20. In Fig.6.38,altitudes AD and CE of triangleABCintersect each other at ...

    Text Solution

    |