The diagonals of a parallelogram A B C D...

The diagonals of a parallelogram `A B C D` intersect at `OdotA` line through `O` intersects `A B` at `X` and `D C` at `Ydot` Prove that `O X=O Ydot`

Topper's Solved these Questions

PROBABILITY
RD SHARMA ENGLISH|Exercise All Questions|67 Videos
RATIONALISATION
RD SHARMA ENGLISH|Exercise All Questions|130 Videos

Similar Questions

Explore conceptually related problems

The diagonals of a parallelogram A B C D intersect at O. A line through O intersects A B\ at X\ a n d\ D C at Y . Prove that O X=O Y .

The diagonals of a parallelogram A B C D intersect at Odot A line through O meets A B in X and C D in Ydot Show that a r( A X Y D)=1/2(A R ^(gm)A B C D)

The diagonals of a parallelogram A B C D intersect at Odot A line through O meets A B\ in x\ a n d\ C D in Ydot Show that a r\ (A X Y X)=1/2(a r|""|^(gm)\ \ A B C D)

A B C D is a parallelogram whose diagonals A C and B D intersect at Odot A Line through O intersects A B at P and D C at Qdot Prove that a r( P O A)=a r( Q O C)dot

The diagonals of a parallelogram A B C D intersect at a point Odot Through O , a time is drawn to intersect A D at P and B C at Q . Show that P Q divides the parallelogram into two parts of equal area.

The diagonals of a parallelogram A B C D intersect at a point O . Through O , a line is drawn to intersect A D\ at P and B C at Q . Show that P Q divides the parallelogram into two parts of equal area.

The diagonals of a parallelogram A B C D intersect at O . A line through O meets A B\ in X\ a n d\ C D in Y . Show that a r\ (q u a d rilateral A X Y D)=1/2a r(paral l e l ogram\ \ A B C D)

A B C D is a parallelogram whose diagonals A C\ a n d\ B D intersect at O . A line through O intersects A B\ a t\ P\ a n d\ D C\ at Q . Prove that a r\ (\ /_\P O A)=\ a r\ (\ /_\Q O C) .

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

The diagonals of a rectangle A B C D intersect in Odot If /_B O C=68^0, find /_O D Adot

RD SHARMA ENGLISH-QUADRILATERALS-All Questions

In a triangle A B C median A D is produced to X such that A D=D Xdot P...
Text Solution
|
In Figure, P Q R S is a parallelogram, P O and Q O are, respectively, ...
Text Solution
|
The diagonals of a parallelogram A B C D intersect at OdotA line throu...
Text Solution
|
A B C D is a parallelogram and /D A B=60^0dot If the bisectors A P and...
Text Solution
|
In a parallelogram A B C D , the bisector of /A also bisects B C at Xd...
Text Solution
|
A B C D is a parallelogram. L and M are points on A B and D C respecti...
Text Solution
|
P Q R S is a parallelogram. P X and QY are respectively, the perpendic...
Text Solution
|
A B C D is a parallelogram. A B is produced to E so that B E=A B . Pro...
Text Solution
|
If A B C D is a quadrilateral in which A B C D and A D=B C , prove th...
Text Solution
|
Find the measure of all the angles of a parallelogram, if one angle is...
Text Solution
|
The perimeter of a parallelogram is 22c m. If the longer side measures...
Text Solution
|
In Figure, A B C D is a parallelogram in which P is the mid-point of D...
Text Solution
|
A B C is a triangle. D is a point on A B such that A D=1/4A B and E is...
Text Solution
|
Show that the line segments joining the mid-points of the opposite ...
Text Solution
|
B M and C N are perpendiculars to a line passing through the vertex A ...
Text Solution
|
In Figure, A N and C P are perpendicular to the diagonal B D of a para...
Text Solution
|
Given A B C , lines are drawn through A ,\ B\ a n d\ C parallel res...
Text Solution
|
In a parallelogram A B C D ,/D=115^0, determine the measure of /A and ...
Text Solution
|
In a parallelogram A B C D , prove that sum of any two consecutive ang...
Text Solution
|
A B C D is a parallelogram andline segments A X ,C Y bisect the angles...
Text Solution
|