Math, asked by Aaaryaa, 4 months ago

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 Anonymous
80

Answer:

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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

(x,y)=( \frac{mx_2+nx_1}{m + n}  , \frac{my_2+ny_1 }{m + n} )

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,

➛(x_1= \: 4,y_1 \: = \: −3)  \\  \\ and  \\  \\ ➙(x_2 \: = \: 9,y_2 \: = \: 7)

⟶x=( \frac{mx_2+nx_1}{m + n} )  \\  \\⟶ y = (\frac{my_2+ny_1 }{m + n} )

ᴀʟsᴏ, ᴍ=3 ᴀɴᴅ ɴ=2

, ᴍ=3 ᴀɴᴅ ɴ=2ʟᴇᴛ ᴛʜᴇ ʀᴇϙᴜɪʀᴇᴅ ᴘᴏɪɴᴛ ʙᴇ ᴘ(x,ʏ).

ᴜsɪɴɢ sᴇᴄᴛɪᴏɴ ғᴏʀᴍᴜʟᴀ,

➟x= \:  \frac{3×9+2×4}{5}  \: =7

➟y= \frac{3×7+2×(−3)}{5} =3

☞ ᴛʜᴇʀᴇғᴏʀᴇ, ᴛʜᴇ ʀᴇϙᴜɪʀᴇᴅ ᴘᴏɪɴᴛ ɪs ᴘ(7,3).

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Answered by Anonymous
1

Answer:

can u inb0x me?

Step-by-step explanation:

Using the section formula, if a point divides the line joining the

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