If the point C(-1,2) divides the line segment joining A(2,5) and B in the ratio of 3:4.Find the co ordinates of B.
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Step-by-step explanation:
ANSWER
C divides A & B in the ratio 3:4 internally
By section formula
3+4
3x+4(2)
=−1,
3+4
3y+4(5)
=2
⇒3x+8=−7, 3y+20=14
x=
3
−15
, 3y=−6
⇒x=−5, y=−2
x
2
+y
2
=(−5)
2
+(−2)
2
=25+4
∴x
2
+y
2
=29.
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