How many tangents to the circle `x^2 + y^2 = 3` are normal tothe ellipse `x^2/9+y^2/4=1?`

How many tangents to the circle x^2 + y^2 = 3 are normal to the ellipse x^2/9+y^2/4=1?

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

A common tangent to the circle x^(2) +y^(2) =16 and an ellipse (x^(2) )/( 49) +(y^(2))/( 4) = 1 is

If y = x + c is a normal to the ellipse x^2/9+y^2/4=1 , then c^2 is equal to

If the tangent to the ellipse x^2 +4y^2=16 at the point is normal to the circle x^2 +y^2-8x-4y=0 then theta is equal to

If the tangent to the ellipse x^2 +4y^2=16 at the point theta normal to the circle x^2 +y^2-8x-4y=0 then theta is equal to

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