" 12.) झhइc्लाइड (cycloid) "x=a(theta-sin theta),y=a(1-cos theta)

" The area between the cycloid "x=a(theta-sin theta),y=a(1-cos theta),0<=theta<2 pi" and the "x-" axis is "

If x=-a(theta-sin theta),y=a(1-cos theta), then (dy)/(dx) is

The maximm height of an arch of th cycloid x=a( theta- sin theta), y=a (1-cos theta) is

If x=a ( theta -sin theta ) ,y=a(1-cos theta ) ,then (dy)/(dx) =

The normal to the curve x=a(cos theta + theta sin theta), y=a(sin theta - theta cos theta) at any theta is such that

The normal to the curve x=a(cos theta + theta sin theta), y=a(sin theta - theta cos theta) at any theta is such that