Which one is common point to the hyperbola `x^(2)-y^(2)=7` and the circle `x^(2)+y^(2)=25` ?

Find the common tangents to the hyperbola x^(2)-2y^(2)=4 and the circle x^(2)+y^(2)=1

If the line y = mx + c is a common tangent to the hyperbola (x^2)/(100) - (y^2)/(64) = 1 and the circle x^2 + y^2 = 36 , then which one of the following is ture ?

The equation of common tangent to the parabola y^(2)=8x and hyperbola 3x^(2)-y^(2)=3 is

The slopes of the common tangents to the parabola y^(2)=24x and the hyperbola 5x^(2)-y^(2)=5 are

Statement I Two tangents are drawn from a point on the circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , then angle between tangents is (pi)/(3) Statement II x^(2)+y^(2)=50 is the director circle of x^(2)+y^(2)=25 .

The angle between the tangents drawn from a point on the director circle x^(2)+y^(2)=50 to the circle x^(2)+y^(2)=25 , is

The eccentricity of the hyperbola x ^(2) - y^(2) =25 is

The equation of the common tangent to the parabola y^(2) = 8x and the hyperbola 3x^(2) – y^(2) = 3 is