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Differential Calculus
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venkat v.t
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Joined: 7 Aug 2007
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11 Sep 2007 20:53:14 IST
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I don`t have that book.
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11 Sep 2007 21:40:02 IST
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( x - a )2 + ( y - b )2 = c2
2(x-a) +2(y-b)y1=0
(y-b) y1 = a- x
y12 - ( y -b) y2 = -1
(b-y) y2 = 1+y12
(b-y) = (1+ y12 ) / y2.... (1)
(1+ y12) = c / ( y - b ) [ This can be got after some manipulation]
c / ( y - b )=
(1+ y12) .......(2)
Multiply (1) and (2)
you get the given expression =c
which is independent of a and b
2(x-a) +2(y-b)y1=0
(y-b) y1 = a- x
y12 - ( y -b) y2 = -1
(b-y) y2 = 1+y12
(b-y) = (1+ y12 ) / y2.... (1)
(1+ y12) = c / ( y - b ) [ This can be got after some manipulation]c / ( y - b )=
(1+ y12) .......(2)Multiply (1) and (2)
you get the given expression =c
which is independent of a and b











