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What do we learn from Distance and Section Formula and also why do we use it.I also Did not understand some parts of the chapter.

Asked by hvasisht16 27th April 2016, 5:21 PM
Answered by Expert
Answer:
L e t space P left parenthesis x subscript 1 comma y subscript 1 right parenthesis space a n d space Q open parentheses x subscript 2 comma y subscript 2 close parentheses space b e space t w o space p o i n t s.
D i s tan c e space b e t w e e n space P space a n d space Q space i s space g i v e n space b y space d i s tan c e space f o r m u l a comma
d equals square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root

S e c t i o n space f o r m u l a space i s space u s e d space w h e n space a space p o i n t space d i v i d e s space a space l i n e space i n space a space p a r t i c u l a r space r a t i o comma space m colon n
L e t space A space b e space t h e space p o i n t space A open parentheses x subscript 1 comma y subscript 1 close parentheses space a n d space B space b e space t h e space p o i n t space B open parentheses x subscript 2 comma y subscript 2 close parentheses
L e t space P open parentheses x comma y close parentheses space b e space a n y space p o i n t space o n space t h e space l i n e space A B
T h u s comma space
x equals fraction numerator m x subscript 2 plus n x subscript 1 over denominator m plus n end fraction space a n d space y equals fraction numerator m y subscript 2 plus n y subscript 1 over denominator m plus n end fraction

A p p l i c a t i o n s space o f space d i s tan c e space f o r m u l a colon
L e t space A open parentheses x subscript 1 comma y subscript 1 close parentheses space a n d space B open parentheses x subscript 2 comma y subscript 2 close parentheses space b e space t w o space c i t i e s space i n space t h e space c o o r d i n a t e space p l a n e space X Y.
T h e space d i s tan c e space b e t w e e n space t h e space t w o space c i t i e s space i n space t h e space c o o r d i n a t e space p l a n e space i s space t h e space r e a l space l i f e space a p p l i c a t i o ln space o f space D i s tan c e space f o r m u l a.

A p p l i c a t i o n s space o f space s e c t i o n space f o r m u l a colon
L e t space A open parentheses x subscript 1 comma y subscript 1 close parentheses space a n d space B open parentheses x subscript 2 comma y subscript 2 close parentheses space b e space t w o space c i t i e s space i n space t h e space c o o r d i n a t e space p l a n e space X Y.
S u p p o s e space a space p e r s o n space i s space g o i n g space f r o m space A space t o space B space t h r o u g h space c a r.
A s s u m e space t h a t space d i s tan c e space b e t w e e n space A space a n d space B space i s space 500 space k m
L e t space u s space a s s u m e space t h a t space a space p e r t r o l space s t a t i o n space i s space t h e r e space a t space 300 space k m space a w a y space f r o m space A space a n d space 200 space k m space a w a y space f r o m space B.
T h e n space w h a t space a r e space c o o r d i n a t e s space o f space t h e space p e t r o l space s t a t i o n space i n space t h e space c o o r d i n a t e space p l a n e.

W e space c a n space 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 e t r o l space p u m p i n g space s t a t i o n space t h r o u g h space s e c t i o n space f o r m u l a.
Answered by Expert 28th April 2016, 11:07 AM
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