Question

➲ ǫᴜᴇsᴛɪᴏɴ:⍰

♻️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.✌️​​

Answer 1

Answer:

Answer:

$\huge{\underline{\underline{\mathfrak{\blue{answer:-}}}}}$

The statement is in general false: for example, if the black dots are all and only on the locus x=0, while the white ones are all and only on the locus x=2, then the assertion is false (we are using the Euclidean distance).

Probably there are some more hypothesis in the background OR the aim of the question is just to analyze the way the candidate faces a given mathematical problem, reaching conclusions which can be in contrast with the thesis of any given question.

Answer 2

This statement is in general false one example is as follows because if all black dots happen to be on the line and white dot on the line and the rest of the plan is neither white or black , so there is no such pair exists.

Another e.g. if the black dots are all and only on the locus x=0, while the white ones are all and only on the locus x=2, then the assertion is false as we are using the Euclidean distance.

Probably there are some more hypothesis in the background OR the aim of the question is just to analyze the way the candidate faces a given mathematical problem, reaching conclusions which can be in contrast with the thesis of any given question.