The portion of the tangent of the curve `x^(2/3)+y^(2/3)=a^(2/3)` ,which is intercepted between the axes is (a>0)

Show that the length of the portion of the tangent to the curve x^((2)/(3))+y^((2)/(3))=4 at any point on it,intercepted between the coordinate axes is constant.

The number of tangents to the curve x^(2//3)+y^(2//3)=a^(2//3) which are equally inclined to the axes is

The equation of the tangent to the hyperbola 3x^(2) - 4y^(2) = 12 , which makes equal intercepts on the axes is

Prove that the length of segment of all tangents to curve x^((2)/(3))+y^((2)/(3))=a^((2)/(3)) intercepted betweern coordina axes Is same

The segment of the tangent to the curve x^(2/3)+y^(2/3)=16 ,contained between x and y axes, has length equal to

Equation of the tangent to the curve y=2-3x-x^(2) at the point where the curve meets the Y -axes is

The equations of the tangents to the ellipse 3x^(2)+y^(2)=3 making equal intercepts on the axes are

The locus of the middle point of the portion of a tangent to the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 included between axes is the curve