The locus pf the image of the focus of the ellipse `x^(2)/25+y^(2)/9=1`, with the respect to any of the tangent to the ellipse is

The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9-1,(a > b), with respect to any of the tangents to the ellipse is (x+4)^2+y^2=100 (b) (x+2)^2+y^2=50 (x-4)^2+y^2=100 (d) (x+2)^2+y^2=50

The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=1,(a > b), with respect to any of the tangents to the ellipse is: (a) (x+4)^2+y^2=100 (b) (x+2)^2+y^2=50 (c) (x-4)^2+y^2=100 (d) (x+2)^2+y^2=50

The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=1,(a > b), with respect to any of the tangents to the ellipse is: (a) (x+4)^2+y^2=100 (b) (x+2)^2+y^2=50 (c) (x-4)^2+y^2=100 (d) (x+2)^2+y^2=50

The locus of the image of the focus of the ellipse (x^2)/(25)+(y^2)/9=1,(a > b), with respect to any of the tangents to the ellipse is: (a) (x+4)^2+y^2=100 (b) (x+2)^2+y^2=50 (c) (x-4)^2+y^2=100 (d) (x+2)^2+y^2=50

The locus of the image of the focus of the ellipse (x^(2))/(25)+(y^(2))/(9)-1,(a>b), with respect to any of the tangents to the ellipse is (x+4)^(2)+y^(2)=100(b)(x+2)^(2)+y^(2)=50(x-4)^(2)+y^(2)=100(d)(x+2)^(2)+y^(2)=50

If the area enclosed by the locus of image of the anyone focus of the ellipse (x^(2))/(9)+(y^(2))/(25)=1 with respect to any of the tangent to the ellipse is k pi, where k varepsilon N, then find sum of digits of k.

The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are

The coordinates of a focus of the ellipse 4x^(2) + 9y^(2) =1 are