(at_(1)^(2),2at_(1)),(at_(2)^(2),2at_(2)),(at_(3)^(2),2at_(3))

The ratio of the areas of a triangle formed with vertices A(at_(1)^(2),2at_(1)),B(at_(2)^(2),2at_(2)),C(at_(3)^(2),2at_(3)) lies on the parabola y^(2)=4ax and triangle formed by the tangents at A,B,C is

Find the area of that triangle whose vertices are (at_(1)^(2),2at_(1)),(at_(2)^(2),2at_(2))and(at_(3)^(2),2at_(3)).

Find the area of the triangle with verrtices (at_(1)^(2),2at_(1)),(at_(2)^(2),2at_(2))and(at_(3)^(2),2at_(3))

Find the area of that triangle whose vertices are (at_(1)^(2),2at_(1)),(at_(2)^(2),2at_(2))and(at_(3)^(2),2at_(3)).

If a circle intersects the parabola y^(2) = 4ax at points A(at_(1)^(2), 2at_(1)), B(at_(2)^(2), 2at_(2)), C(at_(3)^(2), 2at_(3)), D(at_(4)^(2), 2at_(4)), then t_(1) + t_(2) + t_(3) + t_(4) is

If a circle intersects the parabola y^(2) = 4ax at points A(at_(1)^(2), 2at_(1)), B(at_(2)^(2), 2at_(2)), C(at_(3)^(2), 2at_(3)), D(at_(4)^(2), 2at_(4)), then t_(1) + t_(2) + t_(3) + t_(4) is

If O is the orthocentre of triangle ABC whose vertices are at A(at_(1)^(2),2at_(1), B (at_(2)^(2),2at_(2)) and C (at_(3)^(2), 2at_(3)) then the coordinates of the orthocentreof Delta O'BC are

If O is the orthocentre of triangle ABC whose vertices are at A(at_(1)^(2),2at_(1), B (at_(2)^(2),2at_(2)) and C (at_(3)^(2), 2at_(3)) then the coordinates of the orthocentreof Delta O'BC are

Find the are of triangle whose vertex are: (at_(1),(a)/(t_(1)))(at_(2),(a)/(t_(2)))(at_(3),(a)/(t_(3)))

The chord AB of the parabola y^(2)=4ax cuts the axis of the parabola at C. If A-=(at_(1)^(2),2at_(1)),B-=(at_(2)^(2),2at_(2)), and AC:AB1:3, then prove that t_(2)+2t_(1)=0