The number of common tangents to the ellipse `(x^(2))/(16) + (y^(2))/(9) =1` and the circle `x^(2) + y^(2) = 4` is

Number of common tangents of ellipse ((X-2)^(2))/(9)+((y+2)^(2))/(4)=1 and the circle x^(2)+y^(2)-4x+2y+4=0 is

If L be the length of common tangent to the ellipse (x^(2))/(25)+(y^(2))/(4)=1 and the circle x^(2)+y^(2)=16 intercepted by the coordinates axis then (sqrt(3L))/(2) is _____

Number of common tangents of ellipse ((x-2)^(2))/(9)+((y+2)^(2))/(4)=1 and the circle x^(2)+y^(2)-4x+2y+4=0 is (A) 0 (B) 1 (C) 2 (D) More than 2

The number of normals to the ellipse (x^(2))/(25)+(y^(2))/(16)=1 which are tangents to the circle x^(2)+y^(2)=9 is

The equation of common tangents to the ellipse x^(2)+2y^(2)=1 and the circle x^(2)+y^(2)=(2)/(3) is

The length of common tangent to the ellipses (x^(2))/(16)+(y^(2))/(9)=1 and (x^(2))/(9)+(y^(2))/(16)=1 is