Equation auxiliary circle of the ellipse `(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`(a

The eqation of auxiliary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2)) = 1 is _

Statement-1: Tangents drawn from any point on the circle x^(2)+y^(2)=225 to the ellipse (x^(2))/(144)+(y^(2))/(81)=1 are at a right angle. Statement -2 : Equation of the auxiliary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 " is " x^(2)+y^(2)=a^(2) .

Statement-1: Tangents drawn from any point on the circle x^(2)+y^(2)=225 to the ellipse (x^(2))/(144)+(y^(2))/(81)=1 are at a right angle. Statement -2 : Equation of the auxiliary circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 " is " x^(2)+y^(2)=a^(2) .

If the area of the auxilliary circle of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

If the area of the auxiliary circle of the ellipse (x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

If the area of the auxiliary circle of the ellipse (x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2)) =1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

The intercept made by the auxiliary circle of the ellipse (x ^(2))/(a ^(2)) + (y ^(2))/(b ^(2)) =1 (a gt b gt 1) on any tangent to the ellipse, subtends a right angle at its ceotre if

If the area of the auxillary circle of the ellipse (x^(2))/(a^(2)) + (y^(2))/(b^(2)) = 1 (a gt b) is twice the area of the ellipse, then the eccentricity of the ellipse is

Equation of director circle of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is

The equation of the auxiliary circle of the ellipse (x^(2))/(12)+(y^(2))/(18)=1 is