The auxiliary circle of the ellipse ` x^(2)/25 + y^(2)/16 = 1 `

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

The equation of the auxiliary circle of the ellipse (x^(2))/(12)+(y^2)/(18)=1 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 equation of the auxiliary circle of the ellipse : 9x^(2)+4y^(2)-8y-32=0 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

The radius of the auxiliary circle of the hyperbola x^(2)/25-y^(2)/9=1 is

The equation of auxiliary circle of the ellipse 16x^(2) + 25y^(2) + 32 x - 100 y = 284 is

The co-ordinate of a point on the auxiliary circle of the ellipse x^(2)+2y^(2)=4 corresponding to the point on the ellipse whose eccentric angle is 60^(@) will be