Area of the triangle formed by the threepoints `'t_1'. 't_2' and 't_3'` on `y^2=4ax` is `K|(t_1-t_2) (t_2-t_3)(t_3-t_1)|` then `K=`

The area of triangle formed by the points points and t_(1),t_(2) and t_(3) on y^(3) =4ax is k |(t_(1)-t_(2))(t_(2)-t_(3)) (t_(3)-t_(1))| then K =

The area of triangle formed by tangents at the parametrie points t_(1),t_(2) and t_(3) , on y^(2) = 4ax is k |(t_(1)-t_(2)) (t_(2)-t_(1)) (t_(3)-t_(1))| then K =

The area of triangle formed by tangents at the parametrie points t_(1),t_(2) and t_(3) , on y^(2) = 4ax is k |(t_(1)-t_(2)) (t_(2)-t_(1)) (t_(3)-t_(1))| then K =

If the orthocentre of the triangle formed by the points t_1,t_2,t_3 on the parabola y^2=4ax is the focus, the value of |t_1t_2+t_2t_3+t_3t_1| is

If the orthocentre of the triangle formed by the points t_1,t_2,t_3 on the parabola y^2=4ax is the focus, the value of |t_1t_2+t_2t_3+t_3t_1| is

Assertion (A) : Orthocentre of the triangle formed by any three tangents to the parabola lies on the directrix of the parabola Reason ® : The orthocentre of the triangle formed by the tangents at t_1, t_2 ,t_3 to the parabola y^(2) =4ax is (-a ( t_1+t_2+t_3+t_1t_2t_3) )

Prove that area of the trianlge whose vertices are (at_1^2,2at_1) , (at_2^2,2at_2),(at_3^2,2at_3) is a^2(t_1-t_2)(t_2-t_3)(t_3-t_1)

The area formed by the normals to y^2=4ax at the points t_1,t_2,t_3 is

If the area of the triangle formed by the points (t, 2t), (-2, 6), (3, 1) is 5 sq.unit, then t is