Home
Class 12
MATHS
If the sub-normal at any point on y^(1-n...

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

Text Solution

Verified by Experts

The correct Answer is:
`n=1//2`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.4|6 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.5|8 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.2|6 Videos

  • 3D COORDINATION SYSTEM

    CENGAGE|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE|Exercise Solved Examples And Exercises|137 Videos

Similar Questions

Explore conceptually related problems

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

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.

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

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

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

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 .

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

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

If the length of the sub-tangent at any point to the curve xy^(n)=a is proportional to the abscissa,then n is