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

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

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

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

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

Then equation of auxiliary circle of the ellipse 16x^(2)+25y^(2)+32x-100y=284 is (A)x^(2)+y^(2)+2x-4y-20=0 (B) x^(2)+y^(2)+2x-4y=0 (C) (x+1)^(2)+(y-2)^(2)=400(D)(x+1)^(2)+(y-2)^(2)=225

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

The locus of the poles of tangents to the auxiliary circle with respect to the ellipse x^(2)/a^(2) + y^(2)/b^(2) = 1 , is