Length of tangent; normal; subtangent and subnormal

At any point t on the curve x=a(t+sint), y=a(1-cost), find the lengths of tangent, normal, subtangent and subnormal.

At any point '' theta'' on the curve x=a cos^(3) theta, y= a sin^(3) theta , find the length of tangent normal, substangent and subnormal.

Find the length of the tangent, normal, subtangent and subnormal at the point (a,a) on the curve y^(2)=(x^(3))/(2a-x),(a gt 0)

Find the lengths of tangent, subtangent, normal and subnormal to y^2=4ax at (at^2,2at)

The lengths of tangent, subtangent, normal and subnormal for the curve y=x^(2)+x-1 at (1,1) are A,B,C and D respectively, then their increasing order is

The lengths of tangent, subtangent, normal and subnormal for the curve y=x^(2)+x-1 at (1,1) are A,B,C and D respectively, then their increasing order is

Find the length of the tangent, length of the normal, the subtangent, the subnormal of the curve y=((x+1)/(x))" at" (1,2)

Find the length of the tangent, length of the normal, the subtangent, the subnormal of the curve x=a cos^(3),theta, y= a sin^(3) theta(a gt 0)

The lengths of tangent, subtangent, normal and subs normal for the curve y=x^2+x-1 at (1, 1) are A, B, C and D respectively, then their increasing order is