Home
Class 10
MATHS
A line parallel to the side BC of DeltaA...

A line parallel to the side `BC` of `DeltaABC` intersects the sides `AB` and `AC` at the points `P` and `Q` respectively.
`(a)` If `PB=AQ`, `AP=9` units, `QC=4` units, then calculate the length of `PB`.
`(b)` The length of `PB` is twice of `AP` and the length of `QC` is `3` units more than the length of `AQ`, then calculate the length of `AC`.
`(c )` If `AP=QC`, the length of `AB` is `12` units and the length of `AQ` is `2` units , then calculate the length of `CQ`.

Promotional Banner

Topper's Solved these Questions

  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.1|32 Videos

  • SIMILARITY

    CALCUTTA BOOK HOUSE|Exercise Exercise 5.2|27 Videos

  • SAMPLE QUESTIONS PAPERS

    CALCUTTA BOOK HOUSE|Exercise QUESTION|157 Videos

  • SIMPLE INTEREST

    CALCUTTA BOOK HOUSE|Exercise Long-answer type questions|37 Videos

Similar Questions

Explore conceptually related problems

The straight line parallel to the side BC of DeltaABC intersects the sides AB and AC at the points D and E respectively. Then (AB)/(BD)=(AC)/(CE) .

A line parallel to the side BC of DeltaABC intersects the sides AB and AC at the points x and Y respectively. If AX=2.4cm , AY=3.2cm and YC=4.8cm , then the length of AB is

In DeltaABC a straight line parallel to BC intersects the sides AB and AC at the points P and Q respectively. If AP=QC , AB=12cm , AQ=2cm , then find the value of CQ .

In triangleABC , a straight line parallel to BC intersects the sides AB and AC at P and Q respectively. If AP = 8cm, CQ = 9cm and AQ = 2BP, then BP=

If the length of one diagonal of a rhombus having the side10 cm length of 12 cm,then calculate the length of other diagonal.

In adjacent figure, sides AB and AC of DeltaABC are extended to points P and Q respectively. Also, /_PBC AB.

The line parallel to BC of triangleABC meets AB and AC at P and Q respectively. If AP = 4cm, QC = 9cm and PB = AQ, then find the length of PB.

In DeltaABC , a straight line parallel to BC intersects the sides AB and AC at the points L and M . If the length of AM be thrice of the length of AL , then BL:CM=

In triangleABC , a straight line parallel to BC intersects AB and AC at P and Q respectively. If AB = 3PB, then PQ : BC =

The length of the sides of an equilateral Delta ABC is 2 a units.Find the height of the triangle.

CALCUTTA BOOK HOUSE-SIMILARITY-Exercise 5.2
  1. A line parallel to the side BC of DeltaABC intersects the sides AB and...

    Text Solution

    |

  2. In DeltaPQR and DeltaDEF, (PQ)/(DE)=(QR)/(EF)=(RP)/(FD). Then which on...

    Text Solution

    |

  3. In DeltaABC and DeltaDEF if /B=/E and /C=/F, then which of the followi...

    Text Solution

    |

  4. In DeltaPQR and DeltaDEF,/Q=/E=42^(@), (PQ)/(DE)=(QR)/(EF) and if /F=6...

    Text Solution

    |

  5. In the right-angled triangles DeltaPQR and DeltaDEF, /Q=/E= right angl...

    Text Solution

    |

  6. DeltaABC and DeltaBDE are two equilateral triangles. If D is the mid-p...

    Text Solution

    |

  7. If the ratio of the sides of two similar triangles be 4:9, then ratio ...

    Text Solution

    |

  8. DeltaPQR~DeltaDEF and their areas are 49 sq-cm and 121 sq-cm respectiv...

    Text Solution

    |

  9. Write the following sentences true or false: Any two identical image a...

    Text Solution

    |

  10. C and B are two points on the straight line XY, P is an external point...

    Text Solution

    |

  11. In DeltaPQR, a straight line parallel to QR intersects PQ and PR at th...

    Text Solution

    |

  12. Fill the blank :All (equilateral/isosceles) triangle are always ident...

    Text Solution

    |

  13. state true or false; Two equiangular triangles are always congruent.

    Text Solution

    |

  14. state true or false; If the two sides of two triangles are in proport...

    Text Solution

    |

  15. If the areas of two similar triangles be equal, they are .

    Text Solution

    |

  16. The ratio of the areas of two similar triangels is equal to the of the...

    Text Solution

    |

  17. Prove that the perimeters of two similar triangles are proportional to...

    Text Solution

    |

  18. AD is a perpendiuclar drawn from the vertex A of the right-angled tria...

    Text Solution

    |

  19. Fill the blank :All circles are(uniform/identical)

    Text Solution

    |

  20. Fill the blank :All square are(uniform/identical)

    Text Solution

    |

  21. Write the following sentences true or false: Any two identical figure ...

    Text Solution

    |