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F i n d space t h e space c o o r d i n a t e s space o f space t h e space p o i n t s space w h i c h space t r i s e c t 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 2 comma 4 comma 6 right parenthesis space a n d space B left parenthesis 6 comma 8 comma 10 right parenthesis

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Asked by Topperlearning User 16th November 2016, 12:32 AM
Answered by Expert
Answer:

W e space n e e d space t o space f i n d space p o i n t s space P space a n d space Q comma
P space d i v i d e s space A B space i n space t h e space r a t i o space 1 colon 2 space s o space c o o r d i n a t e s space o f space P space a r e
x equals open parentheses fraction numerator 1.6 plus 2.2 over denominator 1 plus 2 end fraction close parentheses equals 10 over 3
y equals open parentheses fraction numerator 1.8 plus 2.4 over denominator 1 plus 2 end fraction close parentheses equals 16 over 3
z equals open parentheses fraction numerator 1.10 plus 2.6 over denominator 1 plus 2 end fraction close parentheses equals 22 over 3
P equals open parentheses 10 over 3 comma 16 over 3 comma 22 over 3 close parentheses
Q space i s space t h e space m i d space p o i n t space o f space P B space s o space c o o r d i n a t e s space o f space Q space a r e
a equals fraction numerator begin display style 10 over 3 end style plus 6 over denominator 2 end fraction equals 14 over 3
b equals fraction numerator begin display style 16 over 3 plus 8 end style over denominator 2 end fraction equals 20 over 3
c equals fraction numerator begin display style 22 over 3 plus 10 end style over denominator 2 end fraction equals 26 over 3
Q equals open parentheses 14 over 3 comma 20 over 3 comma 26 over 3 close parentheses

Answered by Expert 16th November 2016, 2:32 AM
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