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ABCD is a parallelogram. L is a point on...

ABCD is a parallelogram. L is a point on BC which divides BC in the ratio `1:2`. AL intersects BD at P.M is a point on DC which divides DC in the ratio `1 : 2` and AM intersects BD in Q.
Point Q divides DB in the ratio

A

`1:2`

B

`1:3`

C

`3:1`

D

`2:1`

Text Solution

Verified by Experts

The correct Answer is:
B
Hence, P divides AL in the ratio 3:1 and P divides DB in the ratio 1:3 similarly Q divides DB in the ratio 1:3,
thus, `DQ=(1)/(4)DB`
and `PB=(1)/(4)DB`
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