points on the curve `y=4alpha[x+alphasin(x/alpha)]`where the tangent is parallel to the `X` axis lie on

Prove that all points on the curve y^(2)=4a[x+a sin(x/a)] at which the tangent is parallel to the x-axis lie on a parabola.

The asbscissa of the point on the curve y=a(e^(x//a)+e^(-x//a)) where the tangent is parallel to the X-axis, is

Prove that all points of the curve y^2=4a[x+asinx/a] at which the langent is parallel to the axis of x, lie on a parabola.

Find the locus of point on the curve y^(2)=4a(x+a sin(x)/(a)) where tangents are parallel to the axis of x.

Find the locus of point on the curve y^2=4a(x+asin (x/a)) where tangents are parallel to the axis of xdot

Find the locus of point on the curve y^2=4a(x+as in x/a) where tangents are parallel to the axis of xdot

All points on the curve y^(2)=4a(x+a" sin"(x)/(a)) at which the tangents are parallel to the axis of x lie on a

Prove that all the point on the curve y=sqrt(x+sin x) at which the tangent is parallel to x -axis lie on parabola.