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

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

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

The slope of the normal to the curve y = 3x^(2) at the point whose abscissa is 2 is:

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

Find the equations of the tangent to the given curves at the indicated points: x= cos t , y =sin t at t = (pi)/(4)

Find the tangent and normal to the following curves at the given points on the curve. y =x^(2) -x^(4) " at " (1,0)

Find the tangent and normal to the following curves at the givne points on the curve. y=x^(4)+2e^(x) at (0, 2)

Find the tangent and normal to the following curves at the givne points on the curve. y=x^(2)-x^(4) at (1, 0)

Find the tangent and normal to the following curves at the given points on the curve. y = x^(4) + 2e^(x) " at " (0,2)

The minimum distance between a point on the curve y = e^x and a point on the curve y=log_e x is