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

Find the equation of the tangent to the ellipse (x^2)/a^2+(y^2)/(b^2) = 1 at (x_1y_1)

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

Find the slope of the tangent to the curve y=(x-2)^2 at x=1

Find the equation of the tangent to the ellipse x^2/a^2+y^2/b^2=1 at (x= 1,y= 1) .

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

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