The tangents to the parabola `y^2=4ax` at `P(at_1^2,2at_1)`, and `Q(at_2^2,2at_2)`, intersect at R. Prove that the area of the triangle PQR is `1/2a^2(t_1-t_2)^3`

The tangent to the parabola y^(2)=4ax at P(at_(1)^(2), 2at_(1))" and Q"(at_(2)^(2), 2at_(2)) intersect on its axis, them

The tangent to the parabola y^(2)=4ax at P(at_(1)^(2), 2at_(1))" and Q"(at_(2)^(2), 2at_(2)) intersect on its axis, them

The tangents to the parabola y^(2)=4ax at P (t_(1)) and Q (t_(2)) intersect at R. The area of Delta PQR is

If the tangents to the parabola y^(2)=4ax at (x_(1),y_(1)),(x_(2),y_(2)) intersect at (x_(3),y_(3)) then

If the extremitied of a focal chord of the parabola y^2=4ax be (at_1^2,2at_1) and (at_2^2,2at_2) ,show that t_1t_2=-1

Tangents to the parabola y^2=4ax at P(at_1^2,2at_1)and Q(at_2^2,2at_2) meet at T. If DeltaPTQ is right - angled at T, then 1/(PS)+1/(QS) is equal to (where , S is the focus of the given parabola)

Find the distance between the points : (at_1^2, 2at_1) and (at_2^2 , 2at_2)

Find the distance between the points : ( at_1^2 , 2at_1) and (at_2 ^2, 2at_2)