Correct Answer - C
Let `P(at_(1)^(2),2at_(1))" and Q"(at_(2)^(2), at_(2))` be a focal chord of the parabola `y^(2)=4ax`. The tangents at P and Q intersect at `(at_(1), t_(2),a(t_(1)+t_(2)))`
`:." "x_(1)=at_(1)t_(2)" and "y_(1)=a(t_(1)+t_(2))`
`rArr" "x_(1)=-a" and "y_(1)=a(t_(1)+t_(2))" "[{:(because" PQ is ","focal chord"),( ,:.t_(1)t_(2)=-1):}]`
Tghe normals at P and Q intersect at
`(2a+a(t_(1)^(2)+t_(2)^(2)+t_(1)t_(2)),-at_(1)t_(1)(t_(1)+t_(2))`
`:." "x_(2)=2a+a(t_(1)^(2)+t_(2)^(2)+t_(1)t_(2))" and "y_(2)=-at_(2)t_(2)(t_(1)+t_(2))`
`rArr" "x_(2)=a+a(t_(1)^(2)+t_(2)^(2))" and, "y_(2)=a(t_(1)+t_(2))`
Clearly, `y_(1)=y_(2)`.