TP and TQ are tangents to `y^(2)=4x` at `(x_(1),y_(1))` and `(x_(2),y_(2))` respectively `(y_(1),y_(2)>0)` .If `(x_(1))/(x_(2))=16` ; then locus of T is `y^(2)=ax` ,then a is

If the tangents to the parabola y^(2)=4ax at (x_(1),y_(1)),(x_(2),y_(2)) intersect at (x_(3),y_(3)) then

If the tangents to the parabola y^(2)=4ax at (x_1,y_1) and (x_2,y_2) meet on the axis then x_1y_1+x_2y_2=

The points (x_(1),y_(1)),(x_(2),y_(2)),(x_(1),y_(2)) and (x_(2),y_(1)) are always

If the ends of a focal chord of the parabola y^(2) = 8x are (x_(1), y_(1)) and (x_(2), y_(2)) , then x_(1)x_(2) + y_(1)y_(2) is equal to

If the point x_(1)+t(x_(2)-x_(1)),y_(1)+t(y_(2)-y_(1)) divides the join of (x_(1),y_(1)) and (x_(2),y_(2)) internally then locus of t is

The tangents from (2,0) to the curve y=x^(2)+3 meet the curve at (x_(1),y_(1)) and (x_(2),y_(2)) then x_(1)+x_(2) equals

If A (x_(1) , y_(1)) " and B" (x_(2), y_(2)) are point on y^(2) = 4ax , then slope of AB is

If the tangents and normals at the extremities of a focal chord of a parabola intersect at (x_(1),y_(1)) and (x_(2),y_(2)), respectively,then x_(1)=y^(2)( b) x_(1)=y_(1)y_(1)=y_(2)( d) x_(2)=y_(1)

If a parabola y^(2)=4ax followed by x_(1)x_(2)=a^(2),y_(1)y_(2)=-4a^(2) then (x_(1),y_(1)),(x_(2),y_(2)) are