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Analytical Geometry

Mirka's Avatar
Mirka
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2 Oct 2008 17:31:00 IST
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Let A, B, C be 3 points on a str8 line,
None

B lying in between A and C.


Consider all circles passing thru B and C. The points of contact of the tangents from A to these circles lie on


(A) str8 line


(B) circle


(C) parabola


(D) None


 


Explain ur answer...


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Mirka's Avatar

Mirka
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29 Mar 2009 18:12:17 IST
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Anybody ??

 
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ruchi jha
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29 Mar 2009 18:21:23 IST
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is the answr (A) ??
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Mirka
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29 Mar 2009 18:29:42 IST
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i dunno wat d answer is !!

 

pls give Method also :)

 

 
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KRITI JOHARI
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29 Mar 2009 18:36:06 IST
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ans-(a)
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Madmax
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29 Mar 2009 18:57:16 IST
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Here's how U do it......

 

consider A to be Ur origin.....

 

Hence B and C are (r1cos@,r1sin@) and (r2cos@,r2sin@)....

 

Now U can write general eqn of circle (diameter form)...

 

then find general eqn of tgt of these circles which satisfies (0,0) i.e force the constant term=0 and solve with the circle eqn to get general pts...

 

this will be the reqd locus....

 

Hope This helps

cheers!!

 

Nudge if in doubt!!
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