Mathematics
AB and CD are two chords of a circle intersecting at point P inside the circle. If
(i) AB = 24 cm, AP = 4 cm and PD = 8 cm, determine CP.
(ii) AP = 3 cm, PB = 2.5 cm and CD = 6.5 cm, determine CP.
Related Questions
AB and CD are two chords of a circle intersecting at point P outside the circle. If
(i) PA = 8 cm, PC = 5 cm and PD = 4 cm, determine AB.
(ii) PC = 30 cm, CD = 14 cm and PA = 24 cm, determine AB.
In the given figure, ∠ABC = 90° and BC is diameter of the given circle. Show that :
(i) AC × AD = AB2
(ii) AC × CD = BC2
Two circles touch each other internally at a point P. A chord AB of the bigger circle intersects the other circle in C and D. Prove that : ∠CPA = ∠DPB.
In the given figure, AB, BC and CA are tangents to the given circle. If AB = 12 cm, BC = 8 cm and AC = 10 cm, find the lengths of AD, BE and CF.
