[" 18.If the normal at "`t_(1)`" on the hyperbola "`xy=c^(2)`" meets the hyperbola at `t_(2)`then

If the normal at (ct_(1),(c)/(t_(1))) on the hyperbola xy=c^(2) cuts the hyperbola again at (ct_(2),(c)/(t_(2))), then t_(1)^(3)t_(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

Suppose the normal to the hyperbola xy=4 at (2,2) meets hyperbola again at A(2a,(2)/(a)) and the normal to the hyperbola xy = 4 at A meets the hyperbola at B(h, k), then h/4 is equal to

If the normals at P(t_(1))andQ(t_(2)) on the parabola meet on the same parabola, then

The equation of normal at (at,(a)/(t)) to the hyperbola xy=a^(2) is

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 coordinates of the focii of the hyperbola xy=c^(2) are