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Tangents drawn to the parabola y^2 =8x a...

Tangents drawn to the parabola `y^2 =8x` at the points `P(t_1) and Q(t_2)` intersect at a point T and normals at P and Q intersect at a point R such that `t_1` and `t_2` are the roots of equation `t^2 + at + 2 = 0`; `|a| gt 2sqrt(2)` then locus of R is

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