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

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)).

Prove that the area of the triangle 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)) .

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 the triangle whose vertices are A(at_!^2, 2at_1),B(at_2^2, 2at_2) and C(at_3^2, 2at_3)

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

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

The base of a triangle is divided into three equal parts.If t_(1),t_(2),t_(3) are the tangents of the angles subtended by these parts at the opposite vertex,prove that ((1)/(t_(1))+(1)/(t_(2)))((1)/(t_(2))+(1)/(t_(3)))=4(1+(1)/(t_(2)^(2)))

The base of a triangle is divided into three equal parts. If t_(1), t_(2), t_(3) be the tangent sof the angles subtended by these parts at the opposite vertex, prove that : ((1)/(t_(1))+ (1)/(t_(2)))((1)/(t _(2))+(1)/(t _(3)))=4(1+(1)/(t_(2)^(2)))