[" Find the radius of curvature at any point of the curve "],[x=a(theta+sin theta)" and "y=a(1-cos theta)]

Find the equations of tangent and normal to the curve x=a( theta- sin theta), y=a(1 -cos theta)" at "theta=pi//2

Find the equation of tangent to the curve x=a(theta+sin theta),y=a(1-cos theta) at a point theta

If ST and SN are the lengths of the subtangent and the subnormal at the point theta=(pi)/2 on the curve x=a(theta+sin theta),y=a(1-cos theta),a!=1 then

If ST and SN are the lengths of the subtangent and the subnormal at the point theta =(pi)/(2) on the curve x = a (theta + sin theta), y = a (1 - cos theta), a ne1 then...

The inclination of the tangent at theta=(pi)/(3) on the curve x=a(theta+sin theta) , y=a(1+cos theta) is

The equation of normal at any point o to the curve x=a cos theta+a sin theta,y=a sin theta-a cos theta is always at a distance of

The length of normal to the curve x=a(theta+sin theta), y=a(1-cos theta), at theta=(pi)/(2) is

The equation of tangent to the curve x=a(theta+ sin theta), y=a (1+ cos theta)" at "theta=(pi)/(2) is

The length of normal to the curve x=a(theta+sin theta), y=a(1-cos theta), at theta=(pi)/(2) is

Find the point on the curves x = a( theta - sin theta ) and y=a(1 - cos theta ), at which the tangent is parallel to X-axis.