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

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise EXERCISE 7.3 (SHORT ANSWER & LONG ANSWER QUESTIONS)|8 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise EXERCISE 7.1 (SHORT ANSWER & LONG ANSWER QUESTIONS)|28 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL-II (ADVANCED) PRACTICE SHEET (ADDVANCED)) (Comprehension Type Questions)|6 Videos

  • TRANSFORMATIONS

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE-I LEVEL-I Straight Objective Type Questions)|41 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