If `A_(1)B_(1)andA_(2)B_(2)` are two focal chords of the parabola `y^(2)=4ax`, then the chord `A_(1)A_(2)andB_(1)B_(2)` intersect on

If A_1B_1 and A_2B_2 are two focal chords of the parabola y^2=4a x , then the chords A_1A_2 and B_1B_2 intersect on directrix (b) axis tangent at vertex (d) none of these

IF P_1P_2 and Q_1Q_2 two focal chords of a parabola y^2=4ax at right angles, then

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 .

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 dimater touches the parabola, then |y_(1)-y_(2)| is equal to

If a_(1) and a_(2) are two non- collinear unit vectors and if |a_(1)+a_(2)|=sqrt(3), ,then value of (a_(1)-a_(2)).(2a_(1)-a_(2)) is

Let points A_(1), A_(2) and A_(3) lie on the parabola y^(2)=8x. If triangle A_(1)A_(2)A_(3) is an equilateral triangle and normals at points A_(1), A_(2) and A_(3) on this parabola meet at the point (h, 0). Then the value of h I s

If a_(1) and a_(2) aare two non- collineaar unit vectors and if |a_(1)+a_(2)|=sqrt(3), ,then value of (a_(1)-a_(2)).(2a_(1)-a_(2)) is

If the chord joining t_(1) and t_(2) on the parabola y^(2) = 4ax is a focal chord then

If A_(1),A_(2) are two A.M.'s and G_(1),G_(2) be two G.M.'s between two positive numbers a and b, then (A_(1)+A_(2))/(G_(1)G_(2)) is equal to (i) (a+b)/(ab) (ii) (a+b)/2 (iii) (a+)/(a-b) (iv) None of these

If the point ( at^2,2at ) be the extremity of a focal chord of parabola y^2=4ax then show that the length of the focal chord is a(t+1/t)^2 .