A particle is moving in the \(x y\)-plane along a curve \(C\) passing through the point \((3,3)\). The tangent to the cu…

A particle is moving in the \(x y\)-plane along a curve \(C\) passing through the point \((3,3)\). The tangent to the curve \(C\) at the point \(P\) meets the \(x\)-axis at \(Q\). If the \(y\)-axis bisects the segment \(P Q\), then \(C\) is a parabola with

[JEE Main 2022, 24 June (Shift 2)]