Home
Class 10
MATHS
In DeltaPQR seg PM is a median. Angle bi...


In `DeltaPQR` seg PM is a median. Angle bisectors of `/_PMQ` and `/_PMR` interesect `side PQ` and `side PR` in points `X` and `Y` respectively. Prove that `XY||QR`.

Text Solution

Verified by Experts

The correct Answer is:
`therefore XY abs() QR`
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    TARGET PUBLICATION|Exercise Activites for Practice|4 Videos
  • SIMILARITY

    TARGET PUBLICATION|Exercise Multiple Choice Questions|28 Videos
  • SIMILARITY

    TARGET PUBLICATION|Exercise Practice Set 1.4|6 Videos
  • QUESTION FROM STD. IX

    TARGET PUBLICATION|Exercise Statistics|11 Videos
  • STATISTICS

    TARGET PUBLICATION|Exercise Problem Set-6|5 Videos

Similar Questions

Explore conceptually related problems

In DeltaPQR ,seg PM is a median , PM=9 and PQ^(@)+PR^(2)=290. Find the length of QR.

Seg PM is a median of triangle PQR . If PQ=40, PR=42 and PM=29, find QR.

In triangle PQR , seg PM is a median. PM=10 and PQ^2+PR^2=328 , then find QR.

In the figure bisectors of /_B and /_C of DeltaABC intersect each other in point X. Line AX intersects side BC in pont Y. AB=5, AC=4, BC=6 then find (AX)/(XY)

In triangle PQR , M is the midpoint of side QR. If PQ=11, PR=17 and QR=12, then find PM.

In an isosceles triangle PQR, PQ =PR and S is any point on side QR. Then prove that: PQ^(2)-PS^(2)=QSxxSR.

In the given figure, seg PM is a median of DeltaPQR.PM=9andPQ^(2)+PR^(2)=290, then find QR.

Let square PQRS be a quadrilateral. If M and N are the mid-points of the sides PQ and RS respectively, then bar(PS)+bar(QR) =

In DeltaPQR, PM=15, PQ=25, PR=20, NR=8 . State whether line NM is parallel to side RQ or not. Given Reason.

In the adjoining figure, point S is on side QR of DeltaPQR . Prove that PQ + QR + RP gt 2PS

TARGET PUBLICATION-SIMILARITY -Problem Set - 1
  1. In DeltaABC and DeltaPQR, in a one to one correspondence. (AB)/(QR) ...

    Text Solution

    |

  2. If in DeltaDEF and DeltaPQR, angleD cong angleQ, angleR cong angleE, t...

    Text Solution

    |

  3. In DeltaABC and DeltaDEF, " " angleB = angleE, angleF = angleC and ...

    Text Solution

    |

  4. DeltaABC and DeltaDEF are equilateral triangles, A(DeltaABC) : A(Delta...

    Text Solution

    |

  5. In the adjoining figure, seg XY abs()seg BC, then which of the followi...

    Text Solution

    |

  6. In DeltaABC, B - D - C and BD = 7, BC = 20, then find the ratio. (...

    Text Solution

    |

  7. In DeltaABC, B - D - C and BD = 7, BC = 20, then find the ratio (A(...

    Text Solution

    |

  8. In DeltaABC, B - D - C and BD = 7, BC = 20, then find following rati...

    Text Solution

    |

  9. Ratio of areas of two triangles with equal height is 2:3. If base of s...

    Text Solution

    |

  10. In the adjoining figure, angleABC = angleDCB = 90^@ , AB = 6 , DC = 8...

    Text Solution

    |

  11. In the adjoining figure, PM = 10 cm, A(DeltaPQS) = 100 sq. cm, A(Delt...

    Text Solution

    |

  12. DeltaMNT ~ DeltaQRS. Length of altitude drawn from point T is 5 and le...

    Text Solution

    |

  13. In the figure A-D-C and B-E-C seg DE|| side AB. If AD=5, DC=3, BC=6.4 ...

    Text Solution

    |

  14. In the adjoining figure, seg PA , seg QB, seg RC and seg SD are perpen...

    Text Solution

    |

  15. In DeltaPQR seg PM is a median. Angle bisectors of /PMQ and /PMR inter...

    Text Solution

    |

  16. In the figure bisectors of /B and /C of DeltaABC intersect each othe...

    Text Solution

    |

  17. In square ABCD, seg AD|| seg BC. Diagonal AC and digonal BD intersect ...

    Text Solution

    |

  18. In the adoining figure, XY abs() seg AC. If 2 AX = 3 BX and XY = 9, fi...

    Text Solution

    |

  19. In the adjoining figure, the vertices of square DEFG are on the sides ...

    Text Solution

    |