Home
Class 10
MATHS
P and Q are the points on the sides DE a...

P and Q are the points on the sides DE and DF of a triangle DEF such that DP = 5 cm, DE = 15 cm, DQ = 6 cm and QF = 18 cm. Is `PQ||EF`?Give reasons for your answer.

Promotional Banner

Topper's Solved these Questions

  • STATISTICS AND PROBABILITY

    AGRAWAL PUBLICATION|Exercise EXAMPLE|124 Videos

Similar Questions

Explore conceptually related problems

L and M are respectively the points on the sides DE and DF of a triangle DEF, such that DL = 4, LE=4/3,DM=6 and DF=8 . Is Lmabs()EF ? Give reason.

A and B are respectively the points on the sides PQ and PR of a Delta PQR such that PQ =12.5 cm, PA= 5 cm, BR = 6 cm and PB = 4 cm. Is AB abs QR? Give reason for your answer.

R and S are points on the sides DE and EF respectively fo a triangle DEF such that ER = 5 cm, RD = 2.5 cm, SE = 1.5 cm " and " FS = 3.5 cm. Find Whether RS |\| DF or not.

R and s are points on the sides DE and EF respectively of a DeltaDEF such that ER = 5 cm , RD = 2.5 cm , SE = 1.5 cm and FS = 3.5 cm .Find whether RS"||"DF or not .

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AD = 2 cm , BD = 3 cm , BC = 7.5 cm and DE || BC. Then length of DE (in cm) is (a) 2.5 (b) 3 (c) 5 (d) 6

D and E are respectively the points on the sides AB and AC of a triangle ABC such that AE = 5 cm, AC= 7.5 cm, DE= 4.2 cm and DEabs() BC . Then find length of BC.

L and M are points on the sides DE and DF respectively of a MJEF. State whether LM II EF or not. DE = 8 cm, DF = 15 cm, LE = 3.2 cm and MF= 6 cm.

triangle ABC - triangle DEF such that DE = 3 cm, EF = 2 cm, DF = 2.5 cm " and " BC = 4 cm. Find perimeter of triangle ABC .

In figure , DE "||"BC in triangle ABC such that BC = 8 cm , AB = 6 cm and DA = 1.5 cm .find DE.

AGRAWAL PUBLICATION-TRIANGLES-EXAMPLE
  1. Two spotlights, P and Q are mounted on a verticl pole AB as shown. Lig...

    Text Solution

    |

  2. triangle ABC ~ triangle DEF such that DE =3 cm, EF = 2 cm, DF = 2.5 cm...

    Text Solution

    |

  3. P and Q are the points on the sides DE and DF of a triangle DEF such t...

    Text Solution

    |

  4. Given that triangle PQR is similar to triangle BAR, find: the value of...

    Text Solution

    |

  5. In the given figure, find the value of x in terms of a,b and c.

    Text Solution

    |

  6. R and S are points on the sides DE and EF respectively of a triangle D...

    Text Solution

    |

  7. Prove that the sum of the squares of the sides of a rhombus is equal t...

    Text Solution

    |

  8. Areas of two similar triangles are 36 cm^2 and 100 cm^2. If the length...

    Text Solution

    |

  9. In triangle ABC ~ triangle DEF, AB = 4 cm, DE =6cm , EF = 9 cm and FD...

    Text Solution

    |

  10. In the figure if triangle ABC ~ triangle DEF and their sides of length...

    Text Solution

    |

  11. In the figure, if angle 1 = angle 2 and triangle NSQ = triangle MTR, t...

    Text Solution

    |

  12. Three 30^@ - 60^@ - 90^@ set squares are together as shown in the diag...

    Text Solution

    |

  13. Three 30^@ - 60^@ - 90^@ set squares are together as shown in the diag...

    Text Solution

    |

  14. In the figure, angle D = angle E and (AD)/(DB)=(AE)/(EC), prove that B...

    Text Solution

    |

  15. In triangle ABC, angle B = 90^@ and D is the mid point of BC. Prove th...

    Text Solution

    |

  16. Diagonals of a trapezium PQRS intersect each other at the point O, PQ|...

    Text Solution

    |

  17. In the figure, if AB||DC and AC, PQ intersect each other at the point ...

    Text Solution

    |

  18. In the given figure, if DE||BC, then find the ratio of ar(Delta ADE) a...

    Text Solution

    |

  19. ABCD is a trapezium in which AB||DC and P, Q are points on AD and BC r...

    Text Solution

    |

  20. Two right triangles ABC and DBC are drawn on the same hypotenuse BC an...

    Text Solution

    |