At any point on the curve `(a)/(x^(2))+(b)/(y^(2))=1,` the y-intercept made by the tangent is proportional to

The x-intercept of the tangent at any arbitrary point of the curve (a)/(x^(2))+(b)/(y^(2))=1 is proportional to square of the abscissa of the point of the tangency square root of the absissa of the point of tangency cube of the abscissa of the point of tangency cube root of the abscissa of the point of tangency

For the curve y=f(x) at (x_(1),y_(1)) the intercept made by the normal on the y -axis is

Find the intercept made by the line y=x on the curve y

Show that equation to the curve such that the y-intercept cut off by the tangent at an arbitrary point is proportional to the square of the ordinate of the point of tangency is of the form a/x+b/y=1 .

Show that equation to the curve such that the y-intercept cut off by the tangent at an arbitrary point is proportional to the square of the ordinate of the point of tangency is of the form a/x+b/y=1 .

At what points on the curve x^(2)+y^(2)-2x-4y+1=0, the tangents are parallel to the y-a is?

The x-intercept of the tangent at any arbitarary point of the curve (a)/(x^(2))+(b)/(y^(2))=1 is proportioanl to

Find the intercept made by the line y=x on the curve y=x^(2)

Find the intercept made by the line y=x on the curve y=x^(3)

A straight line is drawn from the point (1,0) to the curve x^(2)+y^(2)+6x-10y+1=0, such that the intercept made on it by the curve subtends a right angle at the origin.Find the equations of the line.