A point `O` is taken inside an equilateral four sided figure `A B C D` such that its distances from the angular points `D\ a n d\ B` are equal. Show that `A O\ a n d\ O C` are in one and the same straight line.

A point O is taken inside an equilateral four sided figure A B C D such that its distances from the angular points D and B are equal. Show that A O and O C are in one and the same straight line. GIVEN : A point O inside an equilateral quadrilateral four sided figure A B C D such that B O=O Ddot TO PROVE : A O and O C are in one and the same straight line.

A point O is taken inside an equilateral four sided figure A B C D such that its distances from the angular points D and B are equal. Show that A O and O C are in one and the same straight line. GIVEN : A point O inside an equilateral quadrilateral four sided figure A B C D such that B O=O Ddot TO PROVE : A O and O C are in one and the same straight line.

A point O is taken inside an equilateral four sided figure A B C D such that its distances from the angular points D and B are equal. Show that A O and O C are in one and the same straight line. GIVEN : A point O inside an equilateral quadrilateral four sided figure A B C D such that B O=O Ddot TO PROVE : A O and O C are in one and the same straight line.

A point O is taken inside the third PQRS such that its distance from the angular point and R is equal. Show that QO and SO are in ordinate the same striaght line i.e. points Q,O and R are collinear

A point O is taken inside a rhombus ABCD such that its distances from the vertices B and D are equal. Show that AOC is a straight line.

In figure, A B\ a n d\ C D are straight lines and O P\ a n d\ O Q are respectively the bisectors of angles /_B O D\ a n d\ /_A O C . Show that the rays O P\ a n d\ O Q are in the same line.

In Figure, O\ a n d\ O ' are centres of two circles intersecting at B\ a n d\ C. A C D is a straight line, find x .

In Figure, line segments A B is parallel to another line segment C D .O is the mid-point of A D . Show that: A O B~=\ \ D O C .

In square A B C D ,\ P\ a n d\ Q are mid-point of A B\ a n d\ C D respectively. If A B=8c m\ a n d\ P Q\ a n d\ B D intersect at O , then find area of O P B

In square A B C D ,\ P\ a n d\ Q are mid-point of A B\ a n d\ C D respectively. If A B=8c m\ a n d\ P Q\ a n d\ B D intersect at O , then find area of O P B