if the point P(-1,2) divides internally the line segment joining A(2,5
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Answer:
i) C(−1,2)=(x,y)
ii) A(2,5)&B(x,y)
iii) m:n=3:4
To Find : Co-ordinates of B.
Solution :-
We know the section formula for internal division
−1=
m+nmx
2
+nx
1
−1=
3+4
(3×x)+(4×2)
−1=
7
3x+8
−7=3x+8
3x=−7−8
3x=−15
x=−5
and,
2=
m+n
my
2
+ny
1
2=
3+4
(3×y)=(4×5)
2=
7
3y+20
14=3y+20
3y=14−20
3y=−6
y=−2
∴B(x,y)≡(−5,−2)
Step-by-step explanation:
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