Show that the equation of normal at any point t on the curve `x=3cost-cos^3t` and `y=3sint-sin^3t` is `4(ycos^3t-xsin^3t)=3sin4t.`

Show that the equation of normal at any point t on the curve x=3 cos t - cos^(3) t and y=3 sin t - sin^(3) t is 4(y cos^(3) t-x sin^(3) t) = 3 sin 4t .

Find the equation of the tangent to the curve x=sin3t ,y=cos2t at t=pi/4dot

Find the equations of the tangent and the normal at the point ' t ' on the curve x=a\ sin^3t , y=b\ cos^3t .

The equation of tangent to the curve x=a cos^(3)t ,y=a sin^(3) t at 't' is

Find the equation of tangent to the curve x=sin3t , y=cos2t\ \ at t=pi/4

The equation of the tangent to the curve x=t cos t, y =t sin t at the origin, is

The length of the normal at t on the curve x=a(t+sint), y=a(1-cos t), is

Write the equation of a tangent to the curve x=t, y=t^2 and z=t^3 at its point M(1, 1, 1): (t=1) .

The area bounded by the curve x = a cos^3t,, y = a sin^3t, is :

The shortest distance between origin and a point on the space curve x=2sint, y=2cost, z=3t is….