In the figure ABCD is a llgm and E is th...

In the figure ABCD is a llgm and E is the mid point of BC. Also DE and AB when produced meet at F then

A

`AF=3/2AB`

B

`AF=2AB`

C

`AF=3/2AB`

D

`AF^2=2AB^2`

Text Solution

Verified by Experts

Topper's Solved these Questions

QUADRILATERALS
MODERN PUBLICATION|Exercise EXERCISE|133 Videos
PROBABILITY
MODERN PUBLICATION|Exercise EXERCISE|45 Videos
STATISTICS
MODERN PUBLICATION|Exercise EXERCISE|239 Videos

Similar Questions

Explore conceptually related problems

In Fig. . ABCD is a parallelogram and E is the mid-point of side BC. If DE and AB, when produced meet at F, prove that AF = 2AB.

In the fig. ABCD is paralllelogram and E is the mid point of AD. A line through D, drawn parallel to EB, meets AB produced at F and BC at L. prove that AF=2DC

In the fig. ABCD is paralllelogram and E is the mid point of AD. A line through D, drawn parallel to EB, meets AB produced at F and BC at L. prove that DF=2DL.

In the fig. ABCD is a square M is the mid point and PQ bot CM meets AD at and CB produced prove that PA=BQ?

In triangleABC, AD is the median through A and E is the mid point of AD. BE is produced so as to meet AC in F. prove that AF=1/3AC

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If DQ and AB when produced meet at E, prove that PQ ||DC .

In the fig. AD is a median of triangle ABC and E is the mid point of AD, also BE meets AC in F. prove that AF=1/3AC

In Fig. , ABCD is a trapezium in which AB || DC and P, Q are mid-points of AD and BC respectively. If CP and BA when produced meet at E, prove that PQ=1/2(AB+DC) .

MODERN PUBLICATION-QUADRILATERALS-EXERCISE

D is a point on the side BC of a triangle ABC such that angleADC = ang...
Text Solution
|
In the figure ABCD is a parallelogram in which angleBDC=45^@ and angle...
Text Solution
|
In the figure ABCD is a llgm and E is the mid point of BC. Also DE and...
Text Solution
|
In a trapezium ABCD, if E and F be the mid points of the diagonals AC ...
Text Solution
|
Two parallelograms are on equal bases andbetween the same parallels. T...
Text Solution
|
If angles A, B, C and D of the quadrilateral ABCD, taken in order, are...
Text Solution
|
Three angles of a quadrilateral are 75^@, 90^@ and 75^@. The fourth an...
Text Solution
|
A diagonal of a rectangle is inclined to one side of the rectangle at ...
Text Solution
|
ABCD is a rhombus such that /ACB = 40^@. Then /ADB is
Text Solution
|
The quadrilateral formed by joining the mid-points of the sides of a q...
Text Solution
|
The quadrilateral formed by joining the mid-points of the sides of a q...
Text Solution
|
If angles A, B, C and D of the quadrilateral ABCD, taken in order, are...
Text Solution
|
If bisectors of /A and /B of a quadrilateral ABCD intersect each other...
Text Solution
|
If APB and CQD are two parallel lines, then the bisectors of the angle...
Text Solution
|
The figure obtained by joining the midpoints of the sides of a rhombus...
Text Solution
|
Dand E are the mid-points of the sides AB and AC of DeltaABC and O is ...
Text Solution
|
The figure formed by joining the midpoints of the sides of a quadrilat...
Text Solution
|
The diagonals AC and BD of a parallelogram ABCD intersect each other a...
Text Solution
|
Which of the following is not true for a parallelogram?
Text Solution
|
D and E are the mid-points of the sides AB and AC respectively of Delt...
Text Solution
|