ʟᴇᴛ ᴛʜᴇ ɢɪᴠᴇɴ ɴᴜᴍʙᴇʀꜱ ʙᴇ

ᴀ(2,-2)&ʙ(-7,4)

ᴀ━━━━━━┯━━━┯━━━━━ʙ

(2,-2)_____ ᴘ __ Q_____ (-7,4)

ᴘ & Q ᴀʀᴇ 2 ᴘᴏɪɴᴛꜱ ᴏɴ ᴀʙ ꜱᴜᴄʜ ᴛʜᴀᴛ

ᴀᴘ=ᴘQ=Qʙ

ʟᴇᴛ ᴋ ʙᴇ ᴀᴘ=ᴘQ=Qʙ

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ʜᴇɴᴄᴇ ᴄᴏᴍᴘᴀʀɪɴɢ ᴀᴘ & ᴘʙ

ᴀᴘ=ᴍ

ᴘʙ=ᴘQ+Qʙ

=ᴋ+ᴋ=2ᴋ

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ʜᴇɴᴄᴇ ʀᴀᴛɪᴏ ʙᴇᴛᴡᴇᴇɴ ᴀᴘ & ᴘʙ = ᴀᴘ/ᴘʙ

=ᴍ/2ᴍ

=1/2

ᴛʜᴜꜱ ᴘ ᴅɪᴠɪᴅᴇꜱ ᴀʙ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ 1:2

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ꜰɪɴᴅɪɴɢ ᴘ,

ʟᴇᴛ ᴘ (x,ʏ)

═════════════════════════

ʜᴇɴᴄᴇ

ᴍ1 = 1, ᴍ2=2

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ᴀɴᴅ ꜰᴏʀ ᴀʙ

x1=2, x2= -2

ʏ1= -7, ʏ2= 4

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x=ᴍ1 x2+ ᴍ2 x1/ ᴍ1 + ᴍ2

=1x -7+2×2/1+2

= -7+4/3

= -3/3

=1

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ʏ= ᴍ1+ʏ2+ᴍ2 ʏ1/ ᴍ1+ᴍ2

=1×4+2x -2/1+2

=4-4/3

=0/3

=0

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ʜᴇɴᴄᴇ ᴘᴏɪɴᴛ ᴘ ɪꜱ ᴘ(x,ʏ)

=ᴘ(-1,0)

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ꜱɪᴍɪʟᴀʀʟʏ,

ᴘᴏɪɴᴛ Q ᴅɪᴠɪᴅᴇꜱ ᴀʙ ɪɴ ᴛʜᴇ ʀᴀᴛɪᴏ ᴀQ&Qʙ

=ᴀQ/Qʙ

=ᴀᴘ+ᴘQ/Qʙ

=ᴋ+ᴋ/ᴋ

=2ᴋ/ᴋ

=2/1

=2:1

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ꜰɪɴᴅɪɴɢ Q

ʟᴇᴛ Q ʙᴇ Q(x,ʏ)

= ᴍ1=2, ᴍ2=1

= x1=2, x2= -2

= ʏ1= -7, ʏ2=4

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x= ᴍ1 x2+ ᴍ2 x1/ ᴍ1+ᴍ2

=2 x-7+1×2/2+1

= -14+2/3

= -4

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ʏ= ᴍ1 ʏ2+ ᴍ2 ʏ1/ ᴍ1+ᴍ2

=2×4+1x -2/1+2

=8-2/3

=6/3

=2

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ʜᴇɴᴄᴇ ᴘᴏɪɴᴛ Q ɪꜱ Q(x,ʏ)

=Q (-4,2)

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ʜᴏᴘᴇ ʜᴇʟᴘꜰᴜʟ...

~ᴍɪꜱꜱ.ᴛᴇᴅᴅʏ

Answer:

Given:- A line segment joining the points A(2,−2) and B(−7,4).

Let P and Q be the points on AB such that,

AP=PQ=QB

Therefore,

P and Q divides AB internally in the ratio 1:2 and 2:1 respectively.

As we know that if a point (h,k) divides a line joining the point (x

1

,y

1

) and (x

2

,y

2

) in the ration m:n, then coordinates of the point is given as-

(h,k)=(

m+n

mx

2

+nx

1

,

m+n

my

2

+ny

1

)

Therefore,

Coordinates of P=(

1+2

1×(−7)+2×2

,

1+2

1×4+2×(−2)

)=(−1,0)

Coordinates of Q=(

1+2

2×(−7)+1×2

,

1+2

2×4+1×(−2)

)=(−4,2)

Therefore, the coordinates of the points of trisection of the line segment joining A and B are (−1,0) and (−4,2).

Plzzzzzzzzzz mark it as brainliest....

yrr...3points bhi le lo aap....xd.

plzz mark it aa brainliest...

n tnx my few ans if possible...xd