Home
Class 11
MATHS
Find the value of k, so that the length ...

Find the value of k, so that the length of the subnormal at any point on the curve `xy^(k)=a^(k+1)` is a constant.

Text Solution

Verified by Experts

The correct Answer is:
`k=-2`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(d)|8 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(e)|17 Videos

  • APPLICATION OF DERIVATIVES

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-10(b)|28 Videos

  • ADDITION OF VECTORS

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise - 4 (b) |11 Videos

  • DIFFERENTIATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise Exercise-9(d)|15 Videos

Similar Questions

Explore conceptually related problems

Find the value of k, so that the length of the subnormal at any point on the curve y=a^(1-k)x^(k) is a constant

Length of the subnormal at any point on y^n=a^(n-1)x is constant when n =

the length of the subnormal to the curve y^2=4ax at any point is

Find the lengths of subtangent and subnormal at a point on the curve y=bsin(x/a)

Show that the length of subnormal at any point on the curve xy=a^(2) varies as the cube of the ordinate of the point

Show that the square of the lengh of the subtangent at any point on the curve by^(2)=(x+a)^(3)( bne0) varies witht the length of the subnormal at that point

Find the length of subtangent, subnormal at a point on the curve x=a(cost+sint), y=a(sint-tcost)