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

The slope of a common tangent to the ellipse (x^(2))/(49) + (y^(2))/(4) =1 and the circle x^(2) + y^(2) = 16 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 _____

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 _____

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

The minimum length of intercept on any tangent to the ellipse (x^(2))/(4)+(y^(2))/(9)=1 cut by the circle x^(2)+y^(2)=25 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