Home
Class 9
MATHS
The diagonals AC and BD of a parallelogr...

The diagonals AC and BD of a parallelogram ABCD intersect each other at O. PQ is a line through which meets BC at P and AD at Q. If ar (quad. ABPQ) = k ar (Parallelogram ABCD), then k =

A

`1/2`

B

4

C

3

D

`1/4`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • AREAS OF PARALLELOGRAMS AND TRIANGLES

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section (HOTS) |2 Videos
  • CIRCLES

    SCIENCE OLYMPIAD FOUNDATION |Exercise Achievers Section (HOTS) |3 Videos

Similar Questions

Explore conceptually related problems

Diagonals AC and BD of a parallelogram ABCD intersect each other at O. If OA= 3 cm and OD = 2 cm, determine the lengths of AC and BD.

The diagonals of a parallelogram ABCD intersect at O.A line through O intersects AB at X and DC at Y. Prove that OX=OY

The diagonals of a parallelogram ABCD intersect at O. A line through O meets AB in x and CD in Y .Show that ar (AXYX)=(1)/(2)(ar|^(gm)ABCD)

The diagonals AC and BD of a cyclic quadrilateral ABCD intersect each other at the point P. Then,it is always true that

Diagonals AC and BD of a trapezium ABCD with AB| DC intersect each other at O . Prove that ar(AOD)=ar(BOC)

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If angle DAC = 32^(@) and angle AOB =70^(@), " find " angle DBC.

Diagonals AC and BD of a parallelogram ABCD intersect at O. If OA = 3 cm and OD = 2 cm, determine the lengths of AC and BD.

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O. Prove that ar( Delta AOD) = ar( Delta BOC).

The diagonals AC and BD of a parallelogram ABCD intersect each other at the point O. If angleDAC=32^(@) and angleAOB=70^(@) , then angleDBC is equal to