Home
Class 9
MATHS
In the fig points M and N divide AB of t...

In the fig points M and N divide AB of triangleABC into three equal parts. Line segments MP and NQ are both parallel to BC and meet AC in P and Q respectively. Prove that P and Q divide AC nto three equal parts

Promotional Banner

Topper's Solved these Questions

  • QUADRILATERALS

    MODERN PUBLICATION|Exercise EXERCISE|133 Videos

  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|45 Videos

  • STATISTICS

    MODERN PUBLICATION|Exercise EXERCISE|239 Videos

Similar Questions

Explore conceptually related problems

In Fig. , sides AB and AC of DeltaABC are extended to points P and Q respectively. Also anglePBC AB .

In Fig. , sides AB and AC of DeltaABC are extended to points P and Q respectively. Also anglePBC AB .

A straight line through the origin O meets the parallel lines 4x + 2y = 9 and 2x + y+ 6=0 at points P and Q respectively. Then the point O divides the segment PQ in the ratio :

Dand E are the mid-points of the sides AB and AC of DeltaABC and O is any point on side BC. O is joined to A. If P and Q are the mid-points of OB and OC respectively, then DEQP is

ABCD is a rhombus and P, Q, R, S are the mid-points of AB, BC, CD and DA respectively. Prove that quadrilateral PQRS is a rectangle.

If position vectors of the points A, B and C are a, b and c respectively and the points D and E divides line segment AC and AB in the ratio 2:1 and 1:3, respectively. Then, the points of intersection of BD and EC divides EC in the ratio

P is a point on the bisector of an angle angleABC . If the line through P parallel to AB meets BC at Q. prove that triangle BPQ is isosceles.

Find the coordinates of the points of trisection (i.e., points dividing in three equal parts) of the line segment joining the points A(2,- 2) and B(-7, 4).

In triangleABC , it L and M are points on AB and AC respectively such that LM||BC. Prove that : ar(triangleLCM) = ar(triangleLBM)

In triangleABC , it L and M are points on AB and AC respectively such that LM||BC. Prove that : ar(triangleLBC) = ar(triangleMBC)

MODERN PUBLICATION-QUADRILATERALS-EXERCISE
  1. ABCD is a trapezium in which AB||DC and let E be the mid point of AD. ...

    Text Solution

    |

  2. ABCD is a trapezium in which AB||DC and let E be the mid point of AD. ...

    Text Solution

    |

  3. In the fig points M and N divide AB of triangleABC into three equal pa...

    Text Solution

    |

  4. Prove that any line segment drawn from the vertex of a trianlge to the...

    Text Solution

    |

  5. The figure obtained by joining the midpoints of the sides of a rhombus...

    Text Solution

    |

  6. Diagonals of the parallelogram bisect each other at right angles...

    Text Solution

    |

  7. Name the quadrilateral formed in which two parallel of adjacent sides ...

    Text Solution

    |

  8. In a quadrilateral PQRS, angleP+angleS=180^@. Name the type of quadril...

    Text Solution

    |

  9. In a parallelogram PQRS, write the sum angles of P and Q.

    Text Solution

    |

  10. ABCD is a rectangle with angleBCA=34^@ find angleDBC.

    Text Solution

    |

  11. The perimeter of a parallelogram is 24 cm. if the large side measures ...

    Text Solution

    |

  12. In quadrilateral ABCD, AP and BP are bisector of angleA and angleB res...

    Text Solution

    |

  13. If three angles of a quadrilateral are 110^@,65^@ and 105^@ then find ...

    Text Solution

    |

  14. Opposite angles of a quadrilateral ABCD are equal. If AB=4 cm determin...

    Text Solution

    |

  15. Can all the angles of a quadrilateral be right angles? Give reasons fo...

    Text Solution

    |

  16. In a parallelogram PQRS, if angleS=125^@, find the measure of angleP.

    Text Solution

    |

  17. If the angles of a quadrilateral are in the ratio 3:5:9:13 , then find...

    Text Solution

    |

  18. In a parallelogram PQRS, angleP=(3x-20)^@,angleQ=(y+15)^@,angleR=(x+40...

    Text Solution

    |

  19. In the fig. PQRS is a trapezium. Find the values of x and y

    Text Solution

    |

  20. In the fig. ABCD and AEFG are the parallelogram if angleC=58^@, find a...

    Text Solution

    |