A variable chord PQ of the parabola `y^2=4x` is down parallel to the line `y=x`. If the parameters of the points P & Q on the parabola be p and q respectively then `p+q` is equal to:

A variable chord PQ of the parabola y^(2) = 4x is drawn parallel to the line y = x. If the parameters of the points P & Q on the parabola are p & q respectively, show that p + q = 2. Also show that the locus of the point of intersection of the normals at P & Q is 2x - y = 12.

A variable chord PQ of the parabola y^(2)=4ax is drawn parallel to the line y = x if the parameter of the points P and Q on the parabola be t_(1)andt_(2) respectively and then prove that t_(1)+t_(2)=2 . Also show that the locus of the point of intersection of the normals at P and Q is 2x - y = 12a.

A variable chord PQ of the parabola y=4x^(2) subtends a right angle at the vertex. Then the locus of points of intersection of the tangents at P and Q is

If the normals drawn at the end points of a variable chord PQ of the parabola y^2 = 4ax intersect at parabola, then the locus of the point of intersection of the tangent drawn at the points P and Q is

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

A variable tangent to the parabola y^(2)=4ax meets the parabola y^(2)=-4ax P and Q. The locus of the mid-point of PQ, is

If PQ is the focal chord of the parabola y^(2)=-x and P is (-4, 2) , then the ordinate of the point of intersection of the tangents at P and Q is