Use the information given in the adjoining figure, to prove :
`(i) DeltaDBC ~= DeltaEAC`
`(ii) DC = EC.`

Using information given in the figure, calculate the value of x and y

from the information given tn the figure, Prove that : PM = PN = sqrt 3 xx a

Find QP using given information in the figure.

In the adjoining figure, chord AB ~= chord CD . Prove that arc AC ~= BD

Perform any one the following activities: In the adjoining figure , seg PM is a median . Prove that A(DeltaPQM)=A(DeltaPRM)

Atempt any two of the following : In the adjoining figure , in the adjoining figure , in Delta ABC, A-P-Band A-Q-C "Prove that " (A(DeltaAPQ))/(A(DeltaABC))=(APxxAQ)/(ABxxAC)

In the adjoining figure, line PR touches the circle at point Q . Using the information given in the diagram, answer the following questions. (i) What is the sum of angleTAQ and angleTSQ ? (ii) Write names of angles congruent to angleAQP . (iii) Write names of angles congruent to angleQTS . (iv) If angleTAS= 65^@ , then find angleTQS and arc TS . (v) It angleAQR=42^(@) and angleSQR=58^(@) , then find angleATS .

In the adjoining figure , seg ML || seg BC , seg NL || seg DC. Prove that AM : AB = AN: AD .

In the figure, if BD bot AC and CE bot AB , prove that (i) Delta AEC~ Delta ADB " " (ii) (CA)/(AB)=(CE)/(DB)