Find the Eccentricity...

AIEEE Questions › Co-ordinate Geometry questions › Find the Eccentricity...

FIITJEE HCT-6 Qsn.....

If a central conic is represented by the std form ax^2+2hxy+by^2=0 with the condition that tangents at any point have a constant area (=k) of the triangle that they form with the co-ordinate axes, then find the possible values of the eccentricity 'e' and the const. area.

#Mathematics #Co-ordinate Geometry

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5 Answers

66

kaymant ·2009-12-22 22:25:48

First of all, the equation you have given is NOT a central conic.

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Debotosh.. ·2009-12-23 04:03:14

what i knew was that the equation of all conics with centre at the origin is ax² + 2hxy +by² =1 ........[12]

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Devil ·2009-12-23 09:15:08

Oh, very very sorry, the eqn is ax^2+2hxy+by^2=1.....[2] [2][2]

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11

Devil ·2010-01-05 09:23:26

??

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Devil ·2010-01-12 09:07:04

.....?????

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