Question

Prove that any three points on a circle can not be collinear​

Answer 1

Hope it helps.

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Answer 2

ʜᴇʀᴇ ᴀʀᴇ sᴏᴍᴇ ᴄᴏᴍᴍᴏɴ ᴡᴀʏs,  

ғɪʀsᴛ ᴍᴇᴛʜᴏᴅ:

ᴜsᴇ ᴛʜᴇ ᴄᴏɴᴄᴇᴘᴛ, ɪғ ᴀʙᴄ ɪs ᴀ sᴛʀᴀɪɢʜᴛ ʟɪɴᴇ ᴛʜᴀɴ, ᴀʙ+ʙᴄ=ᴀᴄ

sᴇᴄᴏɴᴅ ᴍᴇᴛʜᴏᴅ :

ɪɴ ᴄᴀsᴇ ᴏғ ɢᴇᴏᴍᴇᴛʀʏ, ɪғ ʏᴏᴜ ᴀʀᴇ ɢɪᴠᴇɴ ᴘᴏɴɪᴛs, ᴀ(x,ʏ,ᴢ) ,ʙ(ᴀ,ʙ,ᴄ),ᴄ(ᴘ,ǫ,ʀ) ғɪɴᴅ ᴛʜᴇ ᴅɪsᴛᴀɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ᴀʙ =√(x-ᴀ)^ + (ʏ-ʙ)^ + (ᴢ-ᴄ)^, ᴛʜᴇɴ ғɪɴᴅ ʙᴄ ᴀɴᴅ ᴀᴄ ɪɴ sɪᴍɪʟᴀʀ ᴡᴀʏ.

ɪғ ᴀʙ+ʙᴄ=ᴀᴄ ᴛʜᴇɴ ᴘᴏɪɴᴛs ᴀʀᴇ ᴄᴏʟʟɪɴᴇᴀʀ.

ᴛʜɪʀᴅ ᴍᴇᴛʜᴏᴅ:

ɪғ ᴅɪʀᴇᴄᴛɪᴏɴ ʀᴀᴛɪᴏs ᴏғ ᴛʜʀᴇᴇ ᴠᴇᴄᴛᴏʀs ᴀ,ʙ,ᴄ ᴀʀᴇ ᴘʀᴏᴘᴏʀᴛɪᴏɴᴀʟ ᴛʜᴇɴ ᴛʜᴇʏ ᴀʀᴇ ᴄᴏʟʟɪɴᴇᴀʀ.

ʙᴇ ʏᴏᴜʀs..........^_^