Show that the common tangent of the ellipse `3x^(2) +13y^(2) =78` and the circle `x^(2) + y^(2) =16` is inclined at `45^(@)` with the major axis.

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

Show that 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 co ordinate axis is (14)/sqrt(3)

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

Find all common tangents of the pairs of circles x^(2) +y^(2) =0 and x^(2) +y^(2) -16x -2y +49=0

Equation of the tangent to the circle x^(2)+y^(2)=3 , which is inclined at 60^(@) with the x-axis is

The equation of the common tangent to x^(2)+y^(2)=8 and y^(2)=16x is

The equation of the common tangent to y^(2)=4x and 3x^(2) -4y^(2) =12 are