Angle between tangents drawn from any point on the circle `x^2 +y^2 = (a + b)^2` , to the ellipse `x^2/a+y^2/b=(a+b)` is-

Angle between tangents drawn from a point on the director circle x^(2)+y^(2)=100 to the circle x^(2)+y^(2)=50 is

The angle between the tangents drawn from a point on the director circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , is

The angle between the tangents drawn from a point on the director circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , is

The angle between the tangents drawn from a point on the director circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , is

If the tangents drawn from a point on the hyperola x^(2)-y^(2)=a^(2)-b^(2) to the ellipse x^(2)/a^(2)-y^(2)/b^(2)=1 makes angles alpha and beta with transverse axis of the hyperbola, then

Statement-1: Tangents drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse (x^(2))/(16)+(y^(2))/(9)=1 are at right angle Statement-2: The locus of the point of intersection of perpendicular tangents to an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is its director circle x^(2)+y^(2)=a^(2)+b^(2) .

Statement-1: Tangents drawn from any point on the circle x^(2)+y^(2)=25 to the ellipse (x^(2))/(16)+(y^(2))/(9)=1 are at right angle Statement-2: The locus of the point of intersection of perpendicular tangents to an ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 is its director circle x^(2)+y^(2)=a^(2)+b^(2) .

The length of the tangent drawn from any point on the circle x^(2) + y^(2) + 2gx + 2fy + a =0 to the circle x^(2) + y^(2) + 2gx + 2fy + b = 0 is

Angle between the tangents drawn from point (4, 5) to the ellipse x^2/16 +y^2/25 =1 is