Point of intersection of normal at `P(at_1^2, 2at_1)` and `Q(at_2^2, 2at_2)`

Point of intersection of normal at P(t1) and Q(t2)

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

Statement I The lines from the vertex to the two extremities of a focal chord of the parabola y^2=4ax are perpendicular to each other. Statement II If extremities of focal chord of a parabola are (at_1^2,2at_1) and (at_2^2,2at_2) , then t_1t_2=-1 .

Statement I: The lines from the vertex to the two extremities of a focal chord of the parabola y^2=4ax are perpendicular to each other. Statement II: If the extremities of focal chord of a parabola are (at_1^2,2at_1) and (at_2^2,2at_2) , then t_1t_2=-1 .

Statement I: The lines from the vertex to the two extremities of a focal chord of the parabola y^2=4ax are perpendicular to each other. Statement II: If the extremities of focal chord of a parabola are (at_1^2,2at_1) and (at_2^2,2at_2) , then t_1t_2=-1 .

Statement I The lines from the vertex to the two extremities of a focal chord of the parabola y^2=4ax are perpendicular to each other. Statement II If extremities of focal chord of a parabola are (at_1^2,2at_1) and (at_2^2,2at_2) , then t_1t_2=-1 .

Find the point of intersection of lines : yt_1 = x+at_1^2 and yt_2 = x+ at_2^2

Find the point of intersection of lines : yt_1 = x+at_1^2 and yt_2 = x+ at_2^2

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)