Home
Class 11
MATHS
At any point t on the curve x=a(t+sint),...

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

Text Solution

Verified by Experts

The correct Answer is:
`2a"sin"(t)/(2); 2a "sin" (t)/(2) "tan"^(t)/(2); a sint; 2 a"sin"^(2)(t)/(2) "tan"(t)/(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

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

At any point '' theta'' on the curve x=a cos^(3) theta, y= a sin^(3) theta , find the length of tangent normal, substangent and subnormal.

The length of the normal at pon the curve x=a(t+sint),y=a(1-cost) is

Slope of the normal to the curve x=a(t+sint),y=a(t-sint) is

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

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

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) .