Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Write True or False and justify your answer in each of the following: Two chords AB and CD of a circle are each at distances 4 cm from the centre. Then AB equal to CD.

Write True or False and justify your answer in each of the following: Two chords AB and AC of a circle with centre O are on the opposite sides of OA. Then \angle OAB =\angle OAC.

Answers (1)

False

Solution:

Given:

AB & AC are chords of a circle with centre O.

They are given to be at the opposite sides of OA.

To find out

If \angleOAB =\angleOAC

Join OB and OC

Consider \triangleAOC & \triangleAOB we have

OB = OC  (Radii of the same circle)

AO = AO  (common)

But it is not sure whether AB = AC or not.

Also, we do not have any other condition to prove that the triangles are congruent.

\therefore  \angleOAB \neq  \angleOAC

Therefore the given statement is false.

Posted by

infoexpert24

View full answer

Similar Questions

Latest Question