Find the value of n so that the subnormal at any point on the curve `xy^n = a^(n+1)` may be constant.

The value of n for which the length of the sub- normal at any point of the curve y^(3)=a^(1-n)x^(2n) must be constant is

The subtangent at any point on the curve x^(m)y^(n)=a^(m+n) varies as

If the subnormal at any point on the curve y =3 ^(1-k). x ^(k) is of constant length the k equals to :

Find the value of   P( n , n -1 )

For the curve xy=c^(2) the subnormal at any point varies as

If the subnormal of the curve xy^n=a^(n+1) is constant, then the value of n is

Find the value of : (1+i)^n, n inN

Find the condition that the line Ax+By=1 may be normal to the curve a^(n-1)y=x^(n).

The product of the lengths ofsubtangent and subnormal at any point x,y of a curve is