Chords of contact are drawn from the points on a tangent of a hyperbola x2−y2=16 to a parabola y2=16x. If all the chords of contact pass through a fixed point Q, then the locus of the point Q for different tangents on hyperbola is an ellipse, whose length of latus rectum is .

Chords of contact are drawn from the points on a tangent of a hyperbol

1.	Chords of contact are drawn from the points on a tangent of a hyperbola x2−y2=16 to a parabola y2=16x. If all the chords of contact pass through a fixed point Q, then the locus of the point Q for different tangents on hyperbola is an ellipse, whose length of latus rectum is .
Answer» Chords of contact are drawn from the points on a tangent of a hyperbola $x^{2} - y^{2} = 16$ to a parabola $y^{2} = 16 x$ . If all the chords of contact pass through a fixed point $Q$ , then the locus of the point $Q$ for different tangents on hyperbola is an ellipse, whose length of latus rectum is .