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, 2 at_1), Q(at_2^2, 2 at_2) are two points on a párabola y^2=4 ax . Find the equation of line through PQ .

If A(at_1^2, 2at_1) and B(at_2^2,2at_2) be the two points on the parabola y^2 = 4ax and AB cuts the x-axis at C such that AB : 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.

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 A(x_(1), y_(1))" and "B(x_(2), y_(2)) be two points on the parabola y^(2)=4ax . If the circle with chord AB as a diameter touches the parabola, then |y_(1)-y_(2)|=

Consider two points A(at_1^2,2at_1) and B(at_2^2,2at_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 '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 AB and CD are two focal chords of the parabola y^2 = 4ax , then the locus of point of intersection of chords AC and BD is the directrix of the parabola. Statement 2: If (at^2_1, 2at_1) and (at^2_2, 2at_2) are the ends of a focal chord of the parabola y^2 = 4ax , then t_1 t_2 = -1 .