9. Find the coordinates of the point which divides the line segment joining the points
(a+b, a - b) and (a – b, a+b) in the ratio 3 : 2 internally.
Answers
Answered by
80
Answer:
☞ ᴡᴇ ᴋɴᴏᴡ ᴛʜᴀᴛ ʙʏ sᴇᴄᴛɪᴏɴ ғᴏʀᴍᴜʟᴀ, ᴛʜᴇ ᴄᴏ-ᴏʀᴅɪɴᴀᴛᴇs ᴏғ ᴛʜᴇ ᴘᴏɪɴᴛs ᴡʜɪᴄʜ ᴅɪᴠɪᴅᴇ ɪɴᴛᴇʀɴᴀʟʟʏ ᴛʜᴇ ʟɪɴᴇ sᴇɢᴍᴇɴᴛ ᴊᴏɪɴɪɴɢ ᴛʜᴇ ᴘᴏɪɴᴛs (x1,ʏ 1 ) ᴀɴᴅ (x2,ʏ 2) ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ ᴍ:ɴ ɪs
ᴛʜᴇ ᴇɴᴅ ᴘᴏɪɴᴛs ᴏғ ᴀʙ ᴀʀᴇ ᴀ(4,-3) ᴀɴᴅ ʙ(9,7).
ᴛʜᴇ ᴇɴᴅ ᴘᴏɪɴᴛs ᴏғ ᴀʙ ᴀʀᴇ ᴀ(4,-3) ᴀɴᴅ ʙ(9,7).ᴛʜᴇʀᴇғᴏʀᴇ,
➣ ᴀʟsᴏ, ᴍ=3 ᴀɴᴅ ɴ=2
, ᴍ=3 ᴀɴᴅ ɴ=2ʟᴇᴛ ᴛʜᴇ ʀᴇϙᴜɪʀᴇᴅ ᴘᴏɪɴᴛ ʙᴇ ᴘ(x,ʏ).
☛ ᴜsɪɴɢ sᴇᴄᴛɪᴏɴ ғᴏʀᴍᴜʟᴀ,
☞ ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ʀᴇϙᴜɪʀᴇᴅ ᴘᴏɪɴᴛ ɪs ᴘ(7,3).
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Answered by
1
Answer:
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Step-by-step explanation:
Using the section formula, if a point divides the line joining the
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