The length of the subtangent to the parabola `y^(2)=16x` at the point whose abscissa is 4, is

The triangle formed by the tangent to the parabola y^2=4x at the point whose abscissa lies in the interval [a^2,4a^2] , the ordinate and the X-axis, has greatest area equal to :

The triangle formed by the tangent to the parabola y^2=4x at the point whose abscissa lies in the interval [a^2,4a^2] , the ordinate and the X-axis, has greatest area equal to :

The length of the subtangent to the curve x^(2)+y^(2)=a^(4) at the point (-a, a) is

The length of the subtangent to the curve x^(2)y^(2)=a^(4) at the point (-a,a) is

The line y=2x+c is tangent to the parabola y^(2)-4y-8x=4 at a point whose abscissa is alpha , then the ordered pair (alpha, C) isn

The line y=2x+c is tangent to the parabola y^(2)-4y-8x=4 at a point whose abscissa is alpha , then the ordered pair (alpha, C) isn

The length of the subtangent to the curve x^2y^2=a^4 at any point (-a,a) is

The length of the subtangent to the curve x^(2)y^(2)=a^(4) at (-a,a) is

For the parabola y^(2)=4ax, the ratio of the subtangent to the abscissa, is