" 1."y^(2)=4ax" ."

" If the normal at the point " t_(1)(at_(1)^(2),2at_(1)) " on " y^(2)=4ax " meets the parabola again at the point " t_(2) " ,then " t_(1)t_(2) =

If the normal at (at_(1)^(2), 2at_(1))" to " y^(2) =4ax intersect the parabola at (at_(2)^(2), 2at_(2)) , prove that, t_(1)+t_(2)+(2)/(t_1)=0(t_(1) ne 0)

If the normal at (at_(1)^(2),2at_(1)) "to" y^(2)=4ax intesect the parabola at (at_(2)^(2),2at_(2)) "then" t_(1)+t_(2)+(k)/(t_(1))=0 (t_(1) ne 0) , find k.

Show that the equation of tangent to the parabola y^(2) = 4ax " at " (x_(1), y_(1)) " is " y y_(1)= 2a(x + x_(1))

What is the length of the focal distance from the point P(x_(1),y_(1)) on the parabola y^(2) =4ax ?

What is the focal distance of any point P(x_(1), y_(1)) on the parabola y^(2)=4ax ?

Show that the equation of the chord of the parabola y^(2) = 4ax through the points (x_(1),y_(1)) and (x_(2),y_(2)) on it is (y-y_(1))(y-y_(2)) = y^(2) - 4ax

Show that the length of the chord of contact of the tangents drawn from (x_(1),y_(1)) to the parabola y^(2)=4ax is (1)/(a)sqrt((y_(1)^(2)-4ax_(1))(y_(1)^(2)+4a^(2)))

Shoe that the length of the chord of contact of tangents drawn from (x_(1),y_(1)), to the parabola y^(2)=4ax is (1)/(a)sqrt((y_(1)^(2)-4ax_(1))(y_(1)^(2)+4a^(2)))