In ` A B C` , `P Q` is a line segment intersecting `A B` at `P` and `A C` at `Q` such that `P Q B C` and `P Q` divides ` A B C` into two parts equal in area. Find `(B P)/(A B)` .

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

In A B C , P and Q are points on sides A B and A C respectively such that P Q||B C . If A P=4c m ,\ \ P B=6c m and P Q=3c m , determine B C .

In A B C , P and Q are points on sides A B and A C respectively such that P Q B C . If A P=4c m ,\ \ P B=6c m and P Q=3c m , determine B C .

In A B C , P and Q are points on sides A B and A C respectively such that P Q ||B C . If A P=3c m , P B=5c m and A C=8c m , find A Q .

A segment of a line P Q with its extremities on A Ba n dA C bisects a triangle A B C with sides a ,b ,c into two equal areas. Find the shortest length of the segment P Qdot

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q// B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .

In a A B C , P and Q are point on the sides A B and A C respectively, such that P Q B C . If A P=2. 4 c m , A Q=2c m , Q C=3c m and B C=6c m , find A B and P Q .

In A B C , P divides the side A B such that A P : P B=1:2 . Q is a point in A C such that P Q B C . Find the ratio of the areas of A P Q and trapezium B P Q C .