Find the slope of a common tangent to the ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1` and a concentric circle of radius `rdot`

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 slopes of the common tanents of the ellipse (x^(2))/(4)+(y^(2))/(1)=1 and the circle x^(2)+y^(2)=3 are +-1(b)+-sqrt(2)(c)+-sqrt(3)(d) none of these

The locus of poles of tangents to the ellipse (x^(2))/(a^(2))+(y^(2)))/(b^(2))=1 with respect to concentric ellipse (x^(2))/(alpha^(2))+(y^(2))/(beta^(2))=1 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

Find the equation of common tangent to circle x^(2)+y^(2)=5 and ellipse x^(2)+9y^(2)=9

The slopes of the tangents drawn from (4,1) to the ellipse x^(2)+2y^(2)=6 are

A common tangent to the circles x^(2)+y^(2)=4 and (x-3)^(2)+y^(2)=1 , is

Find the number of common tangents to the circles x^2+y^2=4 and x^2+y^2-6x-8y=24