If the sub-normal at any point on `y=a^(1-n)x^n` is of constant length, then find the value of `ndot`

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

If the area of the triangle included between the axes and any tangent to the curve x^(n)y=a^(n) is constant,then find the value of n.

if y=x^(n) then find the value of (d^(y))/(dx^(n))

For the curve y^(n)=a^(n-1)x if the subnormal at any point is a constant, then n is equal to

If the area of the triangle,included between the axes and any tangent to the curve ,xy^(^^)n=a^(^^)[n+1] is constant,then the value of n is

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

If f(x)=x^(n)&f'(1)=10, find the value of n.

If 25^n^(-1)+100=5^(2n)^(-1), find the value of ndot

Prove that for the curve y=be^(x//a) , the subtangent is of constant length and the sub-normal varies as the square of the ordinate .

For any two numbers (m+n) : (m-n) : mn = 7 : 1: 60, then find the value of 1/m:1/n