The equation of a tangent to the hyperbola `4x^(2)-5y^(2)=20` parallel and nearer to the line 1010x+1010y=2 is

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel to the line x-y=2 is

The equation of a tangent to the hyperbola 4x^(2)-5y^(2)=20 parallel to the line x-y=2 is

The equation of a tangent to the hyperbola 3x^(2)-y^(2)=3 , parallel to the line y = 2x +4 is

The equation of a tangent to the hyperbola 9x^2 - 12y^2 = 144 parallel to the line x- y=5 is:

The equation of the tangent to the hyperbola 2x^(2)-3y^(2)=6 which is parallel to the line y=3x+4 , is

The equation of the tangent to the hyperbola 3x^(2) - 8y^(2) = 24 and perpendicular to the line 3x -2y = 4 is

Statement 1: The equations of tangents to the hyperbola 2x^(2)-3y^(2)=6 which is parallel to the line y=3x+4 are y=3x-5 and y=3x+5. Statement 2: For a given slope, two parallel tangents can be drawn to the hyperbola.