Question

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ᴛʜᴇʀᴇ ᴀʀᴇ ɪɴғɪɴɪᴛᴇ ʙʟᴀᴄᴋ ᴀɴᴅ ᴡʜɪᴛᴇ ᴅᴏᴛs ᴏɴ ᴀ ᴘʟᴀɴᴇ. ᴘʀᴏᴠᴇ ᴛʜᴀᴛ ᴛʜᴇ ᴅɪsᴛᴀɴᴄᴇ ʙᴇᴛᴡᴇᴇɴ ᴏɴᴇ ʙʟᴀᴄᴋ ᴅᴏᴛ ᴀɴᴅ ᴏɴᴇ ᴡʜɪᴛᴇ ᴅᴏᴛ ɪs ᴏɴᴇ ᴜɴɪᴛ.
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Answer 1

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If all black dots happen to be on the line and white dots on the line (and the rest of the plane is neither white nor black), there is no such pair.

So, the statement is false.

Hope It Will Help.❤️