lf h and k be the intercepts on the coordinate axes of tangent to the curve `(x/a)^[2/3]+(y/b)^[2/3]` at any point on it, then prove that `h^2/a^2+k^2/b^2=1`

If h and k be the intercepts on the coordinate axes of tangent to the curve ((x)/(a))^((2)/(3))+((y)/(b))^((2)/(3)) at any point on it,then prove that (h^(2))/(a^(2))+(k^(2))/(b^(2))=1

If h and k be the intercept on the coordinates axes of tangent to the curve ((x)/(a))^((2)/(3))+((y)/(b))^((2)/(3))=1 at any point, on it, then prove that (h^(2))/(a^(2))+(k^(2))/(b^(2))=1

The sum of the squares o the intercepts on the coordinates axes of any tangent to x^(2//3)+y^(2//3)=a^(2//3) is

The sum of the intercepts made on the axes of coordinates by any tangent to the curve sqrt(x)+sqrt(y)=2 is equal to

Show that the lenght of the portion of the tangent to the curve x^(2/3)+y^(2/3)=a^(2/3) at any point of it, intercept between the coordinate axes is contant.

If alpha,beta are the intercepts made on the axes by the tangent at any point of the curve x=a cos^(3)theta and y=b sin^(3)theta, prove that (alpha^(2))/(a^(2))+(beta^(2))/(b^(2))=1

If the tangent to the curve y^(2)=ax^(2)+b at the point (2,3) is y=4x-5, then (a,b)=

Tangent at any point of the curve (x/a)^(2//3)+(y/b)^(2//3)=1 makes intercepts x_1 and y_1 on the axes. Then

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.

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 axis in constant.