Question

4. Take any three points A, B and C not lying in a straight path. Join points A and B, B and C.
Draw the perpendicular bisectors of AB and BC. Let the bisectors meet at point O. With point
O as centre and OA as radius, draw a circle. Does the circle pass through B and C also?
AD​

Answer 1

★ ᎪՈᏕῳɛཞ:-

ᎶᎥᏉᎬᏁ:- Tᴀᴋᴇ ᴀɴʏ ᴛʜʀᴇᴇ ᴘᴏɪɴᴛ ᴀ, ʙ ᴀɴᴅ ᴄ ɴᴏᴛ ʟʏɪɴɢ ɪɴ ᴀ sᴛʀᴀɪɢʜᴛ ᴘᴀᴛʜ.

ᴊᴏɪɴ ᴘᴏɪɴᴛ ᴀ ᴀɴᴅ ʙ , ʙ ᴀɴᴅ ᴄ .

ᴅʀᴀᴡ ᴛʜᴇ ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ʙɪsᴇᴄᴛᴏʀs ᴏғ ᴀʙ ᴀɴᴅ ʙᴄ .

ʟᴇᴛ ᴛʜᴇ ʙɪsᴇᴄᴛᴏʀs ᴍᴇᴇᴛ ᴀᴛ ᴘᴏɪɴᴛ ᴏ. ᴡɪᴛʜ ᴘᴏɪɴᴛ ᴏ ᴀs ᴄᴇɴᴛʀᴇ ᴀɴᴅ ᴏᴀ ᴀs ʀᴀᴅɪᴜs .

ᴅʀᴀᴡ ᴀ ᴄɪʀᴄʟᴇ. ᴅᴏᴇs ᴛʜᴇ ᴄɪʀᴄʟᴇ ᴘᴀss ᴛʜʀᴏᴜɢʜ

ʙ ᴀɴᴅ ᴄ ᴀʟsᴏ .

✬Sᴏʟᴜᴛɪᴏɴ:-

ʜᴇʀᴇ ᴀ , ʙ , ᴄ ᴛʜʀᴇᴇ ᴘᴏɪɴᴛs , ɴᴏᴛ ɪɴ sᴛʀᴀɪɢʜᴛ ᴘᴀᴛʜ.

ᴀᴅ ɪs ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴏғ ʙᴄ.

ᴄᴇ ɪs ᴘᴇʀᴘᴇɴᴅɪᴄᴜʟᴀʀ ᴏғ ᴀʙ.

ᴊᴏɪɴ ᴀᴅ ᴀɴᴅ ᴇᴄ ᴍᴇᴇᴛ ᴀᴛ ᴘᴏɪɴᴛ ᴏ.

ᴏᴀ ᴀs ʀᴀᴅɪᴜs ᴍᴀᴋᴇ ᴛʜᴇ ᴄɪʀᴄʟᴇ.

➙ Tʜᴇ ᴄɪʀᴄʟᴇ ᴄᴀɴ ɴᴏᴛ ᴘᴀss ᴛʜʀᴏᴜɢʜ ʙ ᴀɴᴅ ᴄ.

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