Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • In Figure, AB and CD are common tangents to two circles of unequal radii. Prove that AB = CD.

In Figure, AB and CD are common tangents to two circles of unequal radii. Prove that AB = CD.

Answers (1)

best_answer

To Prove: AB = CD
Extend AB and CD then they meet at point E.

Here EA = EC     (\because  length of tangent drawn from the same point is equal)
Also EB = ED       (\because  length of tangent drawn from some point is equal)
AB = AE - BE
CD = CE -DF
From equal axiom if equal are subtracted from equal then the result is equal.

\therefore AB= CD

Hence Proved

Posted by

infoexpert27

View full answer

Similar Questions

Latest Question