Question

chord AB and CD of a circle intersect each other in point M.The centrevof a circle is P.tje radius the circle is 13ck and PM=5cm.Find the product CM×DM.​

Answer 1

Draw seg RS such that it passes through point P and M .

Now,RP=13cm and PS=PM+MS

13=5+MS

MS=13-5

MS=8

CM×MD=RM×MS (INTERNAL DIVISION OF CHORD)

CM×MD=13+5×8

CM×MD=18×8

CM×MD=144