If the normal at the point `t_1` to the rectangular hyperbola `xy=c^(2)` meets it again at the points `t_2` prove that `t_1^3t_2=-1`.

If the normals at (x_(i),y_(i)) i=1,2,3,4 to the rectangular hyperbola xy=2 meet at the point (3,4) then

The normal to the rectangular hyperbola xy = 4 at the point t_1 meets the curve again at the point t_2 Then

If the normal at point 't' of the curve xy = c^(2) meets the curve again at point 't'_(1) , then prove that t^(3)* t_(1) =- 1 .

The normal at P(ct,(c )/(t)) to the hyperbola xy=c^2 meets it again at P_1 . The normal at P_1 meets the curve at P_2 =

If the normal at (1,2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2),2t) then the value of t is

If the normal to the rectangular hyperbola xy = c^2 at the point 't' meets the curve again at t_1 then t^3t_1, has the value equal to

If the normals drawn at the points t_(1) and t_(2) on the parabola meet the parabola again at its point t_(3) , then t_(1)t_(2) equals.

If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2), 2t) then the value of t, is

The normal drawn at a point (a t_1^2,-2a t_1) of the parabola y^2=4a x meets it again in the point (a t_2^2,2a t_2), then t_2=t_1+2/(t_1) (b) t_2=t_1-2/(t_1) t_2=-t_1+2/(t_1) (d) t_2=-t_1-2/(t_1)

If the normal to the rectangular hyperbola x y=c^2 at the point (c t ,c//t) meets the curve again at (c t^(prime),c//t '),t h e n t^3t^(prime)=1 (B) t^3t^(prime)=-1 (C) t.t^(prime)=1 (D) t.t^(prime)=-1