Home
Class 11
MATHS
Show that at any point (x,y) on the curv...

Show that at any point (x,y) on the curve `y=b^((x)/(a))`, the length of the subtangent is a constant and the length of the subnormal is `(y^(2))/(a)`.

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

If at any point on the curve y=f(x) , the length of the subnormal is constant, then the curve will be a

For the curve y^2=(x+a)^3 , the square of the subtangent is ….. Subnormal

If at any point (x_1, y_1) on the curve y=f(x) the lengths of the subtangent and subnormal are equal, then the length of the tangent drawn to that curve at that point is

The curve y^2=(x+a)^3 , the square of the subtangent is ..... Subnormal

The length of subtangent to y=be^(x//a) at any point is

The length of subtangent to x^2y^2=a^4 at (a,a) is

At any point t on the curve x=a(t+sint),y=a(1-cost) find the lengths of tangent and normal.