Home
Class 10
MATHS
In figure DE|| BC and CD||EF. Prove that...

In figure DE|| BC and CD||EF. Prove that `AD^(2)=AB xx AF`.

Text Solution

Verified by Experts

The correct Answer is:
`= AF xx AB`
Promotional Banner

Topper's Solved these Questions

  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 4.3|8 Videos
  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise SOLUTION TO EXERCISE 4.4|17 Videos
  • GEOMETRY

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|22 Videos
  • CO-ORDINATE GEOMETRY

    PREMIERS PUBLISHERS|Exercise Other Important Objective|25 Videos
  • MENSURATION

    PREMIERS PUBLISHERS|Exercise OTHER IMPORTANT OBJECTIVE TYPE QUESTIONS|16 Videos

Similar Questions

Explore conceptually related problems

In adjoining figure, seg AD bot side BC, B-D-C. Prove that AB^(2) + CD^(2) = BD^(2) + AC^(2)

In fig. if PQ||BC and PR||CD prove that (i) (AR)/(AD)=(AQ)/(AB) (ii) (QB)/(AQ)=(DR)/(AR) .

In the adjoining figure, chord AB ~= chord CD . Prove that arc AC ~= BD

In an equilateral DeltaABC, the side BC is trisected at D. Prove that 9AD^(2)=7AB^(2). (Hint : AEbotBC )

In the adjoining figure, seg BD bot "side" AC, C-D-A. "Prove that" : AB^(2) = BC^(2) + AC^(2) - BC.AC

In the given fig. if AD bot BC Prove that AB^(2) + CD^(2) = BD^(2) + AC^(2) .

Solve the following sub questions: In Delat ACB , angle ACB = 90^(@) "seg" CD bot side AB, A - D - B "seg" DE bot side CB. "Show that" CD^(2) xx AC =AD xx AB xx DE

Solve the following sub question : In an equilateral triangle ABC, the side BC is trisected at D. prove that 9 AD^(2) = 7 AB^(2)

In angle ACD=90^(@) and CD bot AB . Prove that (BC^(2))/(AC^(2))=(BD)/(AD)

PREMIERS PUBLISHERS-GEOMETRY-SOLUTION TO EXERCISE 4.2
  1. In Delta ABC, D and E are points on the sides AB and AC respectively s...

    Text Solution

    |

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

    Text Solution

    |

  3. In Delta ABC, D and E are points on the sides AB and AC respectively. ...

    Text Solution

    |

  4. In Delta ABC, D and E are points on the sides AB and AC respectively. ...

    Text Solution

    |

  5. In fig. if PQ||BC and PR||CD prove that (i) (AR)/(AD)=(AQ)/(AB) (ii)...

    Text Solution

    |

  6. In fig. if PQ||BC and PR||CD prove that (i) (AR)/(AD)=(AQ)/(AB) (ii)...

    Text Solution

    |

  7. Rhombus PQRS is inseribed in Delta ABC such that angle B is one of its...

    Text Solution

    |

  8. In trapezlum ABCD, AB || DC, E and F are points on non-parallel sides ...

    Text Solution

    |

  9. In figure DE|| BC and CD||EF. Prove that AD^(2)=AB xx AF.

    Text Solution

    |

  10. In a Delta ABC , AD is the bisector of angle A meeting side BC at D, i...

    Text Solution

    |

  11. Check whether AD is bisector of angle A " of " Delta ABC in each of th...

    Text Solution

    |

  12. Check whether AD is bisector of angle A " of " Delta ABC in each of th...

    Text Solution

    |

  13. In figure angle QPC=90^(@), PS is its bisector. If ST bot PR, prove th...

    Text Solution

    |

  14. ABCD is a quadrilateral in which AB= AD, the bisector of angle BAC an...

    Text Solution

    |

  15. Construct a Delta PQR which the base PQ = 4.5 cm, angle R = 35^(@) and...

    Text Solution

    |

  16. Construct a Delta PQR in which QR= 5 cm, P=40^(@) and the median PG fr...

    Text Solution

    |

  17. Construct a Delta PQR such that QR = 6.5 cm, angle P = 60^(@) and the ...

    Text Solution

    |

  18. Construct a Delta ABC such that AB = 5.5 cm, angle C = 25^(@) and the ...

    Text Solution

    |

  19. Draw a triangle ABC of base BC = 5.6 cm, angle A = 40^(@) and the bise...

    Text Solution

    |

  20. Draw Delta PQR such that PQ=6.8 cm, vertical angle is 50^(@) and the b...

    Text Solution

    |