Home
Class 11
MATHS
ABCD is trapezium in which AB and CD are...

ABCD is trapezium in which AB and CD are parallel. Prove by vector methods that the mind points of the sides AB, CD and the intersection of the diagonals are collinear.

Text Solution

Verified by Experts

The correct Answer is:
the mid points of parallel sides of a trapezium and the point of intersection of the diagonals are collinear
Promotional Banner

Topper's Solved these Questions

  • ADDITION OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise - 4 (a) |25 Videos
  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(h)|35 Videos

Similar Questions

Explore conceptually related problems

ABCD is a trapezium in which AB||DC and its diagonal intersect each other at point 'O'. Show that (AO)/(BO)=(CO)/(DO) .

ABCD is a trapezium such that AB and CD are parallel and BC bot CD . If angle ADB= theta , BC= p and CD=q then AB is equal to ......

square ABCD is a trapezium in which AB////CD ,if angleA = 45^@ ,then angleD =

ABCD is a trapezium in which AB|\|DC and its diagonals intersect each other at point ‘O’. Show that (AO)/(BO)=(CO)/(DO) .

If M and N are the mid - points of the sides BC and CD respectively of a parallelogram ABCD, then AM + AN equals

ABCD is trapezium in which AB "|| "CD . If AD = BC, show that angle A = angle B and angle C = angle D .

Let OABC be a parallelogram and D the mid point of OA. Prove that segment CD trisects the diagonal OB and is trisected by the diagonal OB

Two sides of a Rhombus ABCD are parallel to the line x-y=5 and 7x-y=3. The diagonals intersect at (2,1) then the equation of the diagonal are