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.

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

If a,b,c in GP then the line a^(2)x+b^(2)y+ac=0 always passes through the fixed point