At any point on the curve `2x^2y^2-x^4=c ,` the mean proportional between the abscissa and the difference between the abscissa and the sub-normal drawn to the curve at the same point is equal to `or d in a t e` (b) radius vector `x-in t e r c e p toft a nge n t` (d) sub-tangent

At any point on the curve 2x^2y^2-x^4=c , the mean proportional between the abscissa and the difference between the abscissa and the sub-normal drawn to the curve at the same point is equal to (a)Ordinate (b) radius vector (c)x-intercept of tangent (d) sub-tangent

The distance between the origin and the tangent to the curve y=e^(2x)+x^2 drawn at the point x=0 is

Find the equation of normal to the curve x = at^(2), y=2at at point 't'.

Find the equations of the tangent and the normal to the curve x=a t^2,\ \ y=2a t at t=1 .

Determine p such that the length of the such-tangent and sub-normal is equal for the curve y=e^(p x)+p x at the point (0,1)dot

Determine p such that the length of the sub-tangent and sub-normal is equal for the curve y=e^(p x)+p x at the point (0,1)dot

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 tangency square root of the abscissa of the point of tangency cube of the abscissa of the point of tangency cube root of the abscissa of the point of tangency

The y-intercept of the line normal to the curve y^2=x^2+33(y gt 0) at the point with abscissa 4 is :

Find the equation of tangent of the curve x=at^(2), y = 2at at point 't'.

Find the equation of the normal to the curve x^2+2y^2-4x-6y+8=0 at the point whose abscissa is 2.