Home
Class 12
MATHS
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.
`PQ : DB` is equal to

A

`(2)/(3)`

B

`(1)/(3)`

C

`(1)/(2)`

D

`(3)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B

`thereforePQ=(1)/(2)DB`,
i.e., `PQ:DB=1:2`
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 1|7 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise For Session 2|17 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|18 Videos

Similar Questions

Explore conceptually related problems

ABCD is a parallelogram and BC is produced to a point Q such that AD = CQ. If AQ intersect DC at P, show that: ar(BPC) = ar(DPQ)

ABCD is a parallelogram. P is any point on AD, such that AP = 1/3AD and Q is a point on BC such that CQ = 1/3BC . Prove that AQCP is a parallelogram.

ABCD is a parallelogram. L and M are points on AB and DC respectively and AL = CM. Prove that LM and BD bisect each other.

ABCD is a parallelogram in which BC is produced to E such that CE =BC. AE intersects CD at F. If ar(DFB) = 3cm^2 , find the area of the parallelogram ABCD.

Find the coordinates of the point which divides the join of (-1, 7) and (4, -3) in the ratio 2 :3.

Find the co-ordinates of the point R, which divides [PQ] externally in the ratio 2: 1 and verify that Q is the mid-point of PR.

ABCD is a parallelogram in which P and Q are mid-points of opposite sides AB and CD (see Fig. 8.18). If AQ intersects DP at S and BQ intersects CP at R, show that: APCQ is a parallelogram.

The ends of a rod of length l move on two mutually perpendicular lines. Find the locus of the point on the rod which divides it in the ratio 1 : 2.

The diagonals of a parallelogram ABCD intersect at a point O. Through O, a line is drawn to intersect AD at P and BC to Q. show that PQ divides the parallelogram into two parts of equal area.