If the equal sides `AB and AC` each of whose length is `2a` of a righ aisosceles triangle `ABC` be produced to P and so that `BP. CQ=AB,` the line `PQ` always passes through the fixed point

If the equal sides AB and AC each of whose length is a of a righ aisosceles triangle ABC be produced to P and so that BP. CQ=AB^2, the line PQ always passes through the fixed point

If the equal sides AB and AC (each equal to 5 units) of a right-angled isosceles triangle ABC are produced to P and Q such that BP cdot CQ = AB^(2) , then the line PQ always passes through the fixed point (where A is the origin and AB, AC lie along the positive x and positive y - axis respectively)

If the equal sides AB and AC (each equal to 5 units) of a right-angled isosceles triangle ABC are produced to P and Q such that BP cdot CQ = AB^(2) , then the line PQ always passes through the fixed point (where A is the origin and AB, AC lie along the positive x and positive y - axis respectively)

Let ABC be a given isosceles triangle with AB=AC. Sides AB and AC are extended up to E and F, respectively,such that BExCF=AB^(2). Prove that the line EF always passes through a fixed point.

The side AB of an equilateral triangle ABC is produced to D such that BD=2AC the value of (CD^(2))/(AB^(2))is

Let ABC be a given right isosceles triangle with AB = AC . Sides AB and AC are extended up to E and F, respectively, such that BExxCF=AB^(2) . Prove that the line EF always passes through a fixed point.

In the adjoining figure, P and Q are two points on equal sides AB and AC of a isosceles triangle ABC such that AP = AQ, then

A line segment AB is 8 cm in length. AB is produced to P such that BP^(2)=AB.AP, find the length of BP.

A line segment AB is 8 cm in length. AB is produced to P such that BP^(2)=AB.AP, find the length of BP.