If C and D are the points of internal and external division of line segment AB in the same ratio, then AC,AB, AD are in

What is the ratio of division of the line segment AB by the point P from A ?

If D and E are the mid points of AB and AC respectively of DeltaABC , then the ratio of the areas of ADE and BCED is?

AB is a line and P is its midpoint. D and E are two points on the same side of line segment AB such that angleBAD=angleABE and angleEPA=angleDPB . Prove that AD=BE

The points which divide internally and externally the line segment joining the points (1, 7), (6, -3) in the ratio 2:3 are

In given Fig. , DeltaABC is isosceles with AB = AC. D, E, F are the mid-points of sides BC, AC and AB respectively. Show that the line segment AD is perpendicular to the line segment EF and is bisected by it.

In given Fig. , DeltaABC is isosceles with AB = AC. D, E, F are the mid-points of sides BC, AC and AB respectively. Show that the line segment AD is perpendicular to the line segment EF and is bisected by it.

. Find the coordinates of the points which divide,internally and externally,the line joining the point (a+b,a-b) to the point (a-b,a+b) in the ratio a:b .

Points P and Q are both in the line. segment AB and on the same side of its midpoint. P divides AB in the ratio 2: 3, and Q divides AB in the ratio.3:4. If PQ =2, then find the length the line segment AB.

Points P and Q are both in the line segment AB and on the same side of its midpoint. P divides AB in the ratio 3: 2, and Q divides AB in the ratio 4:3. If PQ=2 then find the length of the line segment AB.

The sides AB and AC are equal of an isosceles triangle ABC. D E and F are the mid-points of sides BC, CA and AB respectively. Prove that: (i) Line segment AD is perpedicular to line segment EF. (ii) Line segment AD bisects the line segment EF.