Home
Class 9
MATHS
In the parallelogram ABCD, the line draw...

In the parallelogram `ABCD`, the line drawn through `Q` point `P` on `AB`, parallel to `BC` meets `AC` at `Q`. The line through `Q`, parallel to `AB` meets `AD` `R`.
Prove that
`(AP)/(PB)=(AR)/(RD)`. .

Promotional Banner

Topper's Solved these Questions

  • New Numbers

    V PUBLICATION|Exercise QUESTION BANK|52 Videos
  • POLYNOMIALS

    V PUBLICATION|Exercise Question Bank|24 Videos

Similar Questions

Explore conceptually related problems

How many parallels can be drawn through a point not on a line?

In triangle ABC, a line parallel to BC cuts AB and AC at P and Q. Show that AP/AB= AQ/A C

In the picture below, the side AC of the triangle ABC is extended by D, by adding the length of the side CB. Then the line through C parallel to DB is drawn to meet AB at E. Prove that CE bisects angle C

Given triangle ABC, lines are drawn through A, B and C parallel respectively to the sides BC, CA and AB forming PQ . Show that BC= 1/2 QR

Consider the line joing the points P(-4,1) and Q(0,5) Write the coordinate of the line passing through the midpoint of PQ.

Find the equation of a line drawn perpendicular to the line x/4 + y/6 = 1 through the point where it meets the y-axis.

Find the equation of a line drawn perpendicular to the line x/4+y/6=1 through the point, where it meets the y -axis.

Prove that the line through the point (x_1, y_1) and parallel to the line A x+B y+C=0 is A(x-x_1)+B(y-y_1)=0

AB and CD are parallel lines in the picture. Prove that AP .PC=BP. PD

V PUBLICATION-Parallel Lines-QUESTION BANK
  1. In the picture, the perpendicular is drawn from the midpoint of the hy...

    Text Solution

    |

  2. Draw a right triangle and the perpendicular from the midpoint of the h...

    Text Solution

    |

  3. In the parallelogram ABCD, the line drawn through Q point P on AB, par...

    Text Solution

    |

  4. In the picture below, two vertices of a parallelogram are joined to th...

    Text Solution

    |

  5. Prove that the quadrilatral formed by joining the mid points of the si...

    Text Solution

    |

  6. In trapezium ABCD, CD is parallel to AB. E and F are points on the non...

    Text Solution

    |

  7. In ABC,AB=6cm . P is a point on AB.The line drawn parallel to BC throu...

    Text Solution

    |

  8. In triangle ABCthe length of AB is 6 centimetres and the length of AC ...

    Text Solution

    |

  9. In triangle ABC, a line parallel to BC cuts AB and AC at P and Q. Show...

    Text Solution

    |

  10. ABCD is a quadrilateral in which P,Q, R and S are midpoints of the sid...

    Text Solution

    |

  11. Given triangle ABC, lines are drawn through A, B and C parallel respec...

    Text Solution

    |

  12. In ABC, the line through a point P on. BC, parallel to AC meets AB at ...

    Text Solution

    |

  13. AB and CD are parallel lines in the picture. Prove that AP .PC=BP. PD

    Text Solution

    |

  14. The sides of the triangle are.in the ratio 2: 2: 3 and its perịmeter i...

    Text Solution

    |

  15. In the figure, MN is parallel to QR. PM =6 centimetres, P Q=10 centime...

    Text Solution

    |

  16. In the figure, PQ is parallel to BC PA: PB=2:3. AB=5centimetres,AQ=4 c...

    Text Solution

    |

  17. In the figure, 0 is the centre of the clrcle. angle P=angle R=90, OP=2...

    Text Solution

    |

  18. PQR are the mid polints of șides of tiangle ABC a) if BC=10centimetres...

    Text Solution

    |

  19. in the figure, the vertical lines are parallel. AR:RP:PB=1:2:2 AS=TS, ...

    Text Solution

    |

  20. The sidcs of rectrigle die 6 centimetres and 2 centimetres. a) Dira th...

    Text Solution

    |