Home
Class 12
MATHS
Find the normal to the curve x=a(1+costh...

Find the normal to the curve `x=a(1+costheta),y=asinthetaa tthetadot` Prove that it always passes through a fixed point and find that fixed point.

Text Solution

Verified by Experts

The correct Answer is:
`(a,0)`
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.2|6 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Exercise 5.3|4 Videos

  • APPLICATION OF DERIVATIVES

    CENGAGE|Exercise Solved Examples And Exercises|246 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

Find the normal to the curve x=a(1+cos theta),y=a sin theta at theta. Prove that it always passes through a fixed point and find that fixed point.

The normal to the curve x=a(1+cos theta), y=a sin theta " at " 'theta ' always passes through the fixed point

A st.line cuts intercepts from the axes,the sum of the reciprocals of which equals 4. Show that it always passes through a fixed pt.Find that fixed point.

If a+b+c=0 for all positions of the moving line ax+by+c=0, show that the line always passes through a fixed point.Find the co-ordinates of that fixed point.

Find the equation of normal to the curve x = at^(2), y=2at at point 't'.

Let A and B be two points on y^(2)=4ax such that normals to the curve at A and B meet at point C, on the curve, then chord AB will always pass through a fixed point whose coordinates, are