Home
Class 10
MATHS
In the given figure (not drawn to scals...

In the given figure (not drawn to scalse ) , AG is parallel to CD and `AG=(2)/(7)CD` . The point B on AC is such that `BC=(2)/(7)AC` . If the line BG meets AD at F and the line through C is parallel to BG which meets AD at E , then find the value of `(FG)/(EC)` .

A

`1//7`

B

`3//7`

C

`4//7`

D

`2 //7`

Text Solution

Verified by Experts

The correct Answer is:
D
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Integer Numerical Value Type)|10 Videos
  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

Similar Questions

Explore conceptually related problems

In the figure DE is parallel to BC and (AD)/(DB) = 2/3 if AE = 3.7 cm find EC.

In the given figure ABC is a right angled triangle with angleB=90^(@) . D is the mid -point of BC . Show that AC^(2) = AD^(2) +3CD^(2) .

Knowledge Check

  • E is the mid-point of the side AD of the trapezium ABCD with AB||DC . A line through E drawn parallel to AB intersects BC at F. then

    A
    Point F trisect BC
    B
    Point F bisect BC
    C
    AB=CD
    D
    None
  • AB and CD are two parallel lines. The points B and C are joined such that lt ABC = 65^(@) . A line CE is drawn making angle of 35^(@) with the line CB, EF is drawn parallel to AB, as shown in figure, then ltCEF is

    A
    `160^(@)`
    B
    `155^(@)`
    C
    `150^(@)`
    D
    `145^(@)`
  • AB and CD are two parallel lines. The points B and C are joined such that angle ABC = 65^(@) . A line CE is drawn making angle of 35^(@) with the line CB, EF is drawn parallel to AB, as shown in figure, then angle CEF is

    A
    `160^(@)`
    B
    `155^(@)`
    C
    `150^(@)`
    D
    `145^(@)`
  • Similar Questions

    Explore conceptually related problems

    In the figure, ABCDE is a pentagon. A line through B parallel to AC meets DC produced at F. Show that ar( Delta AEDF) = ar( Delta ABCDE)

    AD is perpendicular on angle bisector of angleABC of DeltaABC . A line DE from D is parallel to BC where it meet AC at E. If AC = 12 cm. then find AE.

    In the triangle ABC, the base BC is trisected at D and E. The line through D, parallel to AB, meets AC at F and the line through E parallel to AC meets AB at G. Let EG and DF intersect at H. What is the ratio of the sum of the area of parallelogram AGHF and the area of the triangle DHE to the area of the triangle ABC ?

    In the given figure, AD = 2cm, BD = 3 cm, AE = 3.5 cm and AC = 7 cm. Is DE parallel to BC ?

    AD is perpendicular to the internal bisector of /_ABC of Delta ABC . DE is drawn through D and parallel to BC to meet AC at E. If the length of AC is 12 cm, then the length of AE (in cm.) is