Home
Class 10
MATHS
In Fig., A, B and C are points on OP, OQ...

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`.

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

O is a point within the ∆ABC . P, Q , R are three points on OA , OB and OC respectively such that PQ||AB and QR||BC . Prove that RP||CA .

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

ABC is a triangle. D and E are two points on AB and AC respectively such that DE is parallel to BC and AD=1 cm , BD= 2cm . What is the ratio of the area of /_\ABC to the area /_\ADE .

S and T are points on sides PR and QR of triangle PQR such that angleP=angleRTS .Show that triangleRPQ~triangleRTS

Two triangles ABC and DBC are in the same side of the common base BC. Lines drawn parallel to BA and BD from any point E on BC intersect AC and DC at the points P and Q respectively. Show that PQ is parallel to AD.

E and F are points on the sides PQ and PR respectively of a trianglePQR .For each of the following cases, state whether EF||QR :(iii)PQ =.1.28 cm, PR = 2.56 cm, PE = 0.18 cm and PF = 0.36 cm

E and F are points on the sides PQ and PR respectively of a trianglePQR .For each of the following cases, state whether EF||QR :(i)PE = 3.9 cm,EQ = 3 cm,PF= 3.6 cm and FR = 2.4 cm

E and F are points on the sides PQ and PR respectively of a trianglePQR .For each of the following cases, state whether EF||QR :(ii) PE = 4 cm, QE =4.5 cm, PF = 8 cm and RF = 9 cm

A line segment drawn parallel to the base BC of ∆ABC intersects AB and AC at X and Y respectively. If X divides AB in 8:3 and AC = 8.8 then prove that AY = 6.4 and YC = 2.4 .

X is point on PQ and Y is a point on PR of a ∆PQR such that XY||QR . If (PQ)/(XQ)=7/3 and PR = 6.3 cm , find YR

R G PUBLICATION-TRIANGLES-EXERCISE
  1. In Fig. DE||AC and DF||AE.Prove that (BF)/(FE)=(BE)/(EC)

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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 similarit...

    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 are similar. Write the similarity cr...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    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

    |