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)`

If (x_(1),y_(1)) and (x_(2),y_(2)) are the end points of focal chord of the parabola y^(2)=4ax then 4x_(1)x_(2)+y_(1)y_(2)

If (x_(1) , y_(1)) " and " (x_(2), y_(2)) are the ends of a focal chord of the parabola y^(2) = 4ax , evaluate : x_(1) x_(2) + y_(1) y_(2) .

What is focal Chord and If the chord joining P(a(t_(1))^(2);2at_(1)) and Q(at_(2)^(2);2at_(2)) is the focal chord ; then t_(1)t_(2)=-1

If (x_(1),y_(1)) & (x_(2),y_(2)) are the extremities of the focal chord of parabola y^(2)=4ax then y_(1)y_(2)=

If (x _(a), y_(1))and (x_(2), (y_(2)) are the end points of a focal chord of the parabola y ^(2) = 5x, then 4 x _(1) x_(2)+y_(1)y_(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)

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 't_1' and 't_2' be the ends of a focal chord of the parabola y^2=4ax then t_1t_2 is equal to

If (x_(1) , y_(1)) " and " (x_(2), y_(2)) are ends of a focal chord of parabola 3y^(2) = 4x , " then " x_(1) x_(2) + y_(1) y_(2) =

If A(at_(1)^(2),2at_(1)) and B(t_(2)^(2),2at_(2)) be the two points on the parabola y^(2)=4ax and AB cuts the x -axis at C sucrabola y^(2)=4ax and AC=3:1. show that t_(2)=-2t_(1) and if AB makes an angle of 90^(@) at the vertex,then find the coordinates of A and B.