Ellipse|Equation of normal and Auxillary circle

ELLIPSE : Basic OF ellipse || Different form OF ellipse || Eccentric angles and Auxiliary circle || Latus rectum

Find the equation of the ellipse whose auxilliary circle is the director circle of the ellipse x^2/36+y^2/13=1 and the length of a latus rectum is 2 units.

Equation Of Ellipse

Any ordinate MP of an ellipse meets the auxillary circle in Q. Ptove that the locus of the point of intersection of the normals at P and Q is the circle x^(2)+y^(2)=(a+b)^(2) .

" Equation of normal at "'theta'" to the circle "^(x^(2)+y^(2))=r^(2)" is "

The y-axis is the directrix of the ellipse with eccentricity e=(1)/(2) and the corresponding focus is at (3,0), equation to its auxilary circle is

Equation of auxillary circle of ellipse 2x^(2)+6xy+5y^(2)=1 is

Illustration Based on Eccentricity and Equation OF Ellipse || Auxiliary Circle || Parametric Equation OF Ellipse

Equation of Normal at ' theta ' to the circle x^(2)+y^(2)=r^(2) is