In the adjoining figure line PA is tangent at point A . Line PBC is a secant . If AP = 15 and BP = 10 , find BC.

In the adjoining figure, ray PQ touches the circle at point Q. Line PRS is a secant, If P=12, PR=8 then PS and RS

In the adjoining figure line PA is a tangent to the circle at point A . Secant PQZ intersects chord AY in point X, such that AP = PX = XY. If PQ = 1 and QZ = 8 . Find AX.

Delta ABC is an equilateral triangle. Point P is on base BC such that PC = 1/3BC , if AB = 6 cm, find AP. Delta ABC is an equilateral (ii) AB = 6 cm PC = 1/3 BC

Let P be an interior point of a triangle ABC and AP, BP, CP meet the sides BC, CA, AB in D, E, F, respectively. Show that (AP)/(PD)=(AF)/(FB)+(AE)/(EC) .

In the adjoining figure circles with centres A and C touch internally at point T . Line AB is tangent to the smaller circle at point P . Point B lies on the bigger circle. Radii are 16 cm and 6 cm . Find AP.

If A(-6,-6) and B(-6,4) be two points that a point P on the line AB satisfies AP=2//9AB . find the point P

In the adjoining figure bisectors of angleBand angleC intersect each other in point X. Line AX intersects side BC in point Y. AB=5, AC=4, BC=6 "then find" (AX)/(XY) .

In the figure , tangent PA and PB are drawn to a circle with centre O from an external point P. If CD is a tangent to the circle at E and AP = 15cm, find the perimeter of Delta PCD .

Line PA and line PB are tangents to the circle at points A andB. If angleAPB=60^(@) then find m(arc AXB).