Question

49. Show that the points representing the complex

number 3 + 2i, 2-1 and -7i are collinear.​

Answer 1

Answer:

ʟᴇᴛ ᴘᴏɪɴᴛs ʙᴇ ,

ᴢ

=+ɪ , ᴢ

=−−ɪ , ᴢ

=−

+

ɪ

ғᴏʀ ᴇǫᴜɪʟᴀᴛᴇʀᴀʟ ᴛʀɪᴀɴɢʟᴇ,

ʙʏ ʀᴏᴛᴀᴛɪᴏɴ ᴄᴏɴᴄᴇᴘᴛ,

ᴢ

−ᴢ

ᴢ

−ᴢ

=ᴇ

ɪπ

........... ....... ........ ()

sᴏ,

⟹

+ɪ+

−

ɪ

+ɪ++ɪ

⟹

(+

)+(−

)ɪ

+ɪ

⟹

(/+

/)−(−/+

/)ɪ

+ɪ

⟹

ᴇ

−ɪπ

ᴇ

ɪπ

⟹ᴇ

π

sᴏ, ᴇǫ. () , sᴀᴛɪsғɪᴇs.

ʜᴇɴᴄᴇ, ɢɪᴠᴇɴ ᴘᴏɪɴᴛs ᴀʀᴇ ᴛʜᴇ ᴠᴇʀᴛɪᴄᴇs ᴏғ ᴀɴ ᴇǫᴜɪʟᴀᴛᴇʀᴀʟ ᴛʀɪᴀɴɢʟᴇ.

Step-by-step explanation:

ʜᴏᴘᴇ ɪᴛ ʜᴇʟᴘs☺☺☺..

ғᴏʟʟᴏᴡ ᴋᴀʀᴏ ʏʀʀ✌✌✌