2 tangents are drawn to a circle with centre O 
Is it necessary that OP bisects the angle CPD

Asked by lovemaan5500 | 26th Dec, 2017, 12:19: PM

Expert Answer:

begin mathsize 16px style In space increment OCP space and space increment ODP comma
PC equals PD space space space space space space space space space space space space space space space space space space space space space space space space space space tangents space from space an space external space point
OC equals OD space space space space space space space space space space space space space space space space space space space space space space space space space radii space of space the space same space circle
angle OCP equals angle ODP equals 90 degree space OC perpendicular space PC space and space OD perpendicular PD
increment OCP approximately equal to increment ODP
angle CPO equals angle DPO space space space space space space space space space space space space straight c. straight p. straight c. straight t space
Hence comma space OP space bisects space the space angle space CPD. end style

Answered by Sneha shidid | 26th Dec, 2017, 12:31: PM