[P" and "Q" are two distinct points on the "],[" parabola "y^(2)=4x" with parameters "t" and "t_(1)],[" respectively.If the normal at "P" passes "],[" through "Q" ,then the minimum value of "t_(1)^(2)" is "]

T P and T Q are tangents to the parabola y^2=4a x at P and Q , respectively. If the chord P Q passes through the fixed point (-a ,b), then find the locus of Tdot

T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respectively. If the chord P Q passes through the fixed point (-a ,b), then find the locus of Tdot

T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respectively. If the chord P Q passes through the fixed point (-a ,b), then find the locus of Tdot

T P and T Q are tangents to the parabola y^2=4a x at Pa n dQ , respectively. If the chord P Q passes through the fixed point (-a ,b), then find the locus of Tdot

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

Normals are drawn to the parabola y^(2)=4ax at the points A,B,C whose parameters are t_(1),t_(2) and t_(3) ,respectively.If these normals enclose a triangle PQR,then prove that its area is (a^(2))/(2)(t-t_(2))(t_(2)-t_(3))(t_(3)-t_(1))(t_(1)+t_(2)+t_(3))^(2) Also prove that Delta PQR=Delta ABC(t_(1)+t_(2)+t_(3))^(2)

If the normal to the parabola y^(2)=4ax at point t_(1) cuts the parabola again at point t_(2) .Then the minimum value of t_(2)^(2) is

If the normal at (1,2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2),2t) then the value of t is

If the normal at(1, 2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2), 2t) then the value of t, is

If the normal at (1,2) on the parabola y^(2)=4x meets the parabola again at the point (t^(2),2t) then the value of t is