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![[Post New]](/templates/default/images/icon_minipost_new.gif) 28 Mar 2008 13:26:59 IST
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tangents at the points (a cos(theta), a sin(theta) ), and (a cos(theta + pie /3), a sin(theta + pie/3) ) on a circle x^2+y^2= a^2 are drawn.then what is the locus of intersection of these tangents?
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28 Mar 2008 20:41:01 IST
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the locus is the MOJOR ARC OF A CIRCLE
that is we can say that it is a circle..
if my ans . is right plss tell i can give u solution..
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28 Mar 2008 21:32:55 IST
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i guess that will also be a circle
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28 Mar 2008 22:52:23 IST
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the locus is 3x^2+3y^2=4a^2
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29 Mar 2008 19:37:11 IST
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yes its a circle..now pls post ur solutions...
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29 Mar 2008 21:30:30 IST
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cospie/6=a/IO
root3/2=a/x
x=2a/root3
now h^2+k^2=x^2
h^2+k^2=4a^2/3
3h^2+3k^2=4a^2
3x^2+3y^2=4a^2 ans.
see my next post for its diagram
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29 Mar 2008 21:34:12 IST
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underoot of root3/2=a/x
x=2a/under root of 3
h2 + k2 = x2
h2 + k2 = 4a2 / 3
3h2 + 3k2 = 4a2 -- ans..
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30 Mar 2008 01:58:53 IST
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yeah the ans is correct. i made a calc. mistake
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