1not convinced, ur argument does not satisfy my argument
does the auxillary circle of ellipse is for specific ellipse or it can be the auxillary circle for more than one ellipse
-
UP 0 DOWN 0 0 17
17 Answers
1b includes e , that is if b/a is fixed for an ellipse ,e is also fixed. so only one ellipse for one auxillary circle .
1b/a is now c/a , if it is so then for the same eccentricity angle phi, the corresponding points on the auxillary circle will have infinite coordinates , which is not possible, same point will have (acos phi , bsinphi) and (a cos phi ,c cos phi). so only one auxillary circle and one ellipse
1na.................
c auxilary circle is
xsq+ysq =asq
a=minor axis
nw only a cumz rite ??
nw consider
ellipse
xsq/asq +ysq/bsq =1
auxi circle is xsq +ysq=asq
nw consider ellipse
xsq /asq +ysq/csq=1
auxi circle is
xsq+ysq=asq
so these r two difrnt ellipse bt auxi circel is same
so one auxi circle can hav many ellipse coresspondin 2 it
1it can b for more then one ellipse i mean auxilaary circle only depnds on d major axis .so if d minor axis change then ellipse change bt circle remaiins same
1cuz change is d law of life .............or say spice of life ;)
1Oh...sry.....
yes...When u increase the eccentricity of the elliplse(less than one) to one... u will get the auxillary cirlcle.....so there may b infinite ellipses...
BTW tanx wats in name(WHY NOW ~~~~~~)
1hey sriraghav wat u gave is d equation of director circel this person is talkin bout auxilary circle wich is
x^2+y^2=a^2
1no it is only for one ellipse...coz the radius changess
x^2 +y^2 = a^2 + b^6