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A space p o i n t space R space w i t h space x space c o o r d i n a t e space 1 space l i e s space o n space t h e space l i n e space s e g m e n t space j o i n i n g space t h e space p o i n t s
A left parenthesis negative 2 comma 3 comma 5 right parenthesis space a n d space B left parenthesis 7 comma 0 comma negative 1 right parenthesis comma F i n d space t h e space c o o r d i n a t e s space o f space R ?

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Asked by Topperlearning User 16th November 2016, 12:47 AM
Answered by Expert
Answer:

L e t space R space d i v i d e space A B thin space i n space t h e space r a t i o space k colon 1
C o o r d i n a t e s space o f space R space a r e
x equals open parentheses fraction numerator 7 k minus 2 over denominator k plus 1 end fraction close parentheses
y equals open parentheses fraction numerator 3 over denominator k plus 1 end fraction close parentheses
z equals open parentheses fraction numerator negative k plus 5 over denominator k plus 1 end fraction close parentheses
g i v e n space x equals 1
rightwards double arrow fraction numerator 7 k minus 2 over denominator k plus 1 end fraction equals 1
rightwards double arrow k equals 1 half
y equals fraction numerator 3 over denominator begin display style 1 half end style plus 1 end fraction equals 2
z equals fraction numerator negative begin display style 1 half end style plus 5 over denominator begin display style 1 half end style plus 1 end fraction equals 3
R equals left parenthesis 1 comma 2 comma 3 right parenthesis

Answered by Expert 16th November 2016, 2:47 AM
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