If `P(at_(1)^(2), 2at_(1))" and Q(at_(2)^(2), 2at_(2))` are two points on the paragents at `y^(2)=4ax`, then that hrea of the triangle formed by the tangents at P and Q and the chord PQ, is

If P(at_(1)^(2), 2at_(1))" and Q(at_(2)^(2), 2at_(2)) are two points on the parabola at y^(2)=4ax , then that area of the triangle formed by the tangents at P and Q and the chord PQ, is

If P(at_(1)^(2),2at_(1)) and Q(at_(2)^(2),2at_(2)) are the ends of focal chord of the parabola y^(2)=4ax then t_(1)t_(2)

Let P(at_(1)^(2),2at_(1)) and Q(at_(2)^(@),2at_(2)) are two points on the parabola y^(2)=4ax Then,the equation of chord is y(t_(1)+t_(2))=2x+2at_(1)t_(2)

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 points (at_(1)^(2),2at_(1)),(at_(2)^(2),2at_(2)) and (a,0) will be collinear,if

Let P(2, 2) and Q(1//2, -1) be two points on the parabola y^(2)=2x , The coordinates of the point R on the parabola y^(2) =2x where the tangent to the curve is parallel to the chord PQ, are

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

Consider two points A(at_(1)^(2.2)at_(1)) and B(at_(2)^(2)*at_(2)) lying on the parabola y^(2)=4ax. If the line joining the points A and B passes through the point P(b,o). then t_(1)t_(2) is equal to:

If the points : A(at_(1)^(2),2at_(1)),B(at_(2)^(2),2at_(2)) and C(a,0) are collinear,then t_(1)t_(2) are equal to

Tangents are drawn from the point (-1,2) to the parabola y^(2)=4x. These tangents meet the line x=2 at P and Q, then length of PQ is