Home
Class 10
MATHS
X is any point inside Delta ABC, XA, XB ...

X is any point inside `Delta ABC`, XA, XB and XC are joined 'E' is any point on AX. If `EF || AB`,`FG || BC`. Peove that `EG || AC`.

Text Solution

Verified by Experts

The correct Answer is:
`EG || AC`
Promotional Banner

Topper's Solved these Questions

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-1 BASIC PROPORTIONALITY THEOREM (LONG ANSWER TYPE QUESTIONS)|16 Videos

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TOPIC-1 BASIC PROPORTIONALITY THEOREM (VERY SHORT ANSWER TYPE QUESTIONS)|17 Videos

  • TRIANGLES

    OSWAAL PUBLICATION|Exercise TEXTBOOK CORNER (EXERCISE 2.6)|10 Videos

  • SURFACE AREA AND VOLUMES

    OSWAAL PUBLICATION|Exercise EXERCISE 15.5|5 Videos

Similar Questions

Explore conceptually related problems

In Delta ABC , /_ B = /_C , D and E are the points on AB and AC such that BD = CE , prove that DE || BC .

In the figure 11.23, E is any point on median AD of a Delta ABC. Show that ar (ABE) = ar (ACE).

In the Given figure, E is any point on median AD of a triangle ABC Show that ar (ABE) = ar (ACE)

In a Delta ABC , let P and Q be points on AB and AC respectively such that PQ || BC . Prove that the median AD bisects PQ.

D and E are points on sides AB and AC respectively of Delta ABC such that ar (DBC) = ar EBC). Prove that DE |\| BC.

Let ABC be a triangle and D and E be two points on sides AB such that AD = BE . If DP || BC and EQ || AC , then prove that PQ || AB .

In Delta ABC , D and E are the mid-points of AB and AC respectively, then the area of Delta ADE is :

If D is the mid-point of side BC of a triangle ABC and AD is perpendicular to AC, then

D and E are points on sides AB and AC respectively of tirangle ABC such that ar (DBC) = ar (EBC) . Prove that DE || BC

In an equilateral triangle ABC, D is a point on side BC such that BD = 1/3 BC . Prove that 9 AD^(2) = 7 AB^(2) .

OSWAAL PUBLICATION-TRIANGLES-TOPIC-1 BASIC PROPORTIONALITY THEOREM (SHORT ANSWER TYPE QUESTIONS)
  1. In Delta ABC, / ABC = 90^(@), BD | AC. If BD = 8 cm, AD = 4 cm, find C...

    Text Solution

    |

  2. In Delta ABC, DE || BC and CD || EF. Prove that AD^(2) = AF.AB.

    Text Solution

    |

  3. In the following figure, AC || BD and CE || DF. If OA = 13 cm, AB = 9 ...

    Text Solution

    |

  4. In Delta ABC, AD is the median and PQ || BC. Prove that PE = EQ

    Text Solution

    |

  5. In Delta ABC, PQ ||BC, AP = 3 cm, AR = 4.5 cm, AQ = 6 cm, AB = 5 cm an...

    Text Solution

    |

  6. If one diagonal of a trapezium divides the other in the ration 1 : 2, ...

    Text Solution

    |

  7. A ladder resting against a vertical wall has its foot on the ground at...

    Text Solution

    |

  8. Study the following figure. Write the ratios in relation to basic prop...

    Text Solution

    |

  9. In Delta ABC , DE || BC . If AD= 5 cm , BD = 7 cm and AC = 18 cm , fi...

    Text Solution

    |

  10. In the given figure, AC || BD and CE || DF. If OA = 12 cm, AB = 9 cm, ...

    Text Solution

    |

  11. At certain times of the day trees casts its shadow 12.5 feet long. If ...

    Text Solution

    |

  12. X is any point inside Delta ABC, XA, XB and XC are joined 'E' is any p...

    Text Solution

    |

  13. In Delta ABC, / B = /C, D and E are the points on AB and AC such that ...

    Text Solution

    |

  14. Delta ABC - Delta DEF, Area of Delta ABC = 64 cm^(2) and area of Delta...

    Text Solution

    |

  15. In Delta ABC, / ABC = 90^(@), BM | AC, AM = 8x^(2),AM = 2x^(2), find B...

    Text Solution

    |

  16. From the following data, State whether Delta ABC is similar to Delta D...

    Text Solution

    |

  17. Select the set of numbers in the following, which can form similar tri...

    Text Solution

    |

  18. In the figure, / QPR = / UTS = 90^(@) and PR || TS. Prove that

    Text Solution

    |

  19. In the following figure, / ABC = 90^(@) and / AMP = 90^(@). Prove that...

    Text Solution

    |