Home
Class 10
MATHS
In DeltaABC , PQ is a line segment intes...

In `DeltaABC` , PQ is a line segment intesecting AB at point P and AC at point Q. PQ || BC. If PQ divides `DeltaABC` into two equal parts equal in area , find BP: AB .

Text Solution

Verified by Experts

The correct Answer is:
`(sqrt(2)-1)/(sqrt(2))`
Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    CHETAN PUBLICATION|Exercise ASSIGNMENT-1|12 Videos

  • SIMILARITY

    CHETAN PUBLICATION|Exercise Problem Set - 1 (MCQs)|16 Videos

  • QUADRATIC EQUATIONS

    CHETAN PUBLICATION|Exercise ASSIGNMENT|12 Videos

  • STANDARD IX SYLLABUS

    CHETAN PUBLICATION|Exercise PROBLEMS FOR PRACTICE|20 Videos

Similar Questions

Explore conceptually related problems

In figure the line segment xy is parallel to side AC of Delta ABC and it divides the triangle into two parts of equal areas. Find the ratio (AX)/(AB)

Find the coordinates of the points which divide segment AB into four equal parts, if A(5,7) and B(-3,-1)

If point P(3,2) divides the line segment AB internally in the ratio of 3:2 and point Q(-2,3) divides AB externally in the ratio 4:3 then find the coordinates of points A and B.

In DeltaABC , P is a point on side BC such that BP = 4 cm and PC = 7 cm. A(DeltaAPC):A(DeltaABC) = ………………

If A (-14, -10), B (6 ,-2) is given, find the co-ordinates of the points which divide segment AB into four equal parts.

Draw a line segment PQ=8cm. Take point R on it such that l(PR):l(RQ)=3:2 .

If a point Q lies between two points P and R such that PQ = QR, prove that PQ = 1/2 PR.

If AB:BC=3:5, then into how many equal parts seg AC is divided to get point B?

CHETAN PUBLICATION-SIMILARITY -PROBLEMS FOR PRACTICE
  1. Point D and E are the points on sides AB and AC such athat AB = 5.6 , ...

    Text Solution

    |

  2. In DeltaPQR , ray QS bisects of anglePQR.P-S-R. Show that (A(DeltaP...

    Text Solution

    |

  3. In the adjoining figure , seg PQ || AB. Seg PR || seg BD. Prove that ...

    Text Solution

    |

  4. In the adjoining figure , "seg " PA , "seg " QB , "seg " , RC and "s...

    Text Solution

    |

  5. A vertical pole of a length 6 m casts a shadow of 4 m long on the grou...

    Text Solution

    |

  6. In DeltaABC,AB=5,BC=6,AC=7.DeltaPQR~DeltaABC. "Perimeter of" DeltaPQR"...

    Text Solution

    |

  7. In DeltaABC,angleB=90^(@),"seg "DEbot"side " AC. AD=6,AB=12, AC=18, ...

    Text Solution

    |

  8. E is a point on side CB,C-B-E, "In" DeltaABC,AB=AC. "If seg " AD,BC,B...

    Text Solution

    |

  9. D is a point on side BC of DeltaABC such that , angleADC=angleBAC. S...

    Text Solution

    |

  10. In DeltaRES,RE=15,SE=10."In" DeltaPEA,PE=8,AE=12."Prove that" DeltaRES...

    Text Solution

    |

  11. In the adjoining figure "seg "Cebot" side " AB, " seg" AD bot" side " ...

    Text Solution

    |

  12. In the adjoining figure , if DeltaABN~=DeltaACM " show that" DeltaAM...

    Text Solution

    |

  13. Let X be any point on side BC of DeltaABC seg XM || side AB and seg XN...

    Text Solution

    |

  14. In the adjoining figure , seg AB || side DC , OD = x OB = x -3 , OC =...

    Text Solution

    |

  15. DeltaDEF~DeltaMNK If DE = 5 and MN = 6 , then find the value of A (De...

    Text Solution

    |

  16. If DeltaABC~DeltaDEF such that the area of DeltaABC"is" 9 "cm" ^(2) "...

    Text Solution

    |

  17. In the adjoining figure, seg DE|| side BC . If DE : BC =3: 5 , then fi...

    Text Solution

    |

  18. In DeltaABC , PQ is a line segment intesecting AB at point P and AC at...

    Text Solution

    |

  19. In DeltaABC , angleABC=90^(@). DeltaPAB, DeltaQACandDeltaRBC are the e...

    Text Solution

    |

  20. In DeltaABC , seg DE|| side BC. If 2A (DeltaADE)=A(squareDBCE). Sho...

    Text Solution

    |