Question

On collinearity of three points


For what value of k, the points (k, -2), (1,4), (-3, 16) in given order are collinear?

Using distance formula
$distance = \sqrt{(x1 - x2) + (y1 - y2)}$
Please explain

Please answer it correctly

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Please answer it very fast

Answer 1

1) first find AB, BC, CA. by distance formula.

2) then solve by using this collinear formula AC=BC+CA then value of k also come and collinear also satisfied.

_____ hope it may help uuu

Answer 2

ʜᴇʏ!!! ᴡᴀssᴜᴘ

ᴡʜᴇɴ ʙᴀsᴇ ɪs ᴅɪssᴏʟᴠᴇᴅ ɪɴ sᴏᴅɪᴜᴍ ʜʏᴅʀᴏxɪᴅᴇ sᴏʟᴜᴛɪᴏɴ ɪᴛs ʜʏᴅʀᴏxɪᴅᴇ ɪᴏɴs ɪɴᴄʀᴇᴀsᴇ ʙᴜᴛ ɪᴛ ᴡɪʟʟ ʀᴇᴀᴄʜ sᴀᴛᴜʀᴀᴛɪᴏɴ ᴀᴛ sᴏᴍᴇ ᴘᴏɪɴᴛ. ᴀғᴛᴇʀ sᴀᴛᴜʀᴀᴛɪᴏɴ ᴘᴏɪɴᴛ ʜʏᴅʀᴏxɪᴅᴇ ɪᴏɴ ᴄᴏɴᴄᴇɴᴛʀᴀᴛɪᴏɴ ɪs ɴᴏᴛ ᴀғғᴇᴄᴛᴇᴅ ᴇᴠᴇɴ ᴀғᴛᴇʀ ᴀᴅᴅɪɴɢ ʙᴀsᴇ ғᴜʀᴛʜᴇʀ.