The correct option is C (B)→(R)
Let the point on the parabola be (t2,2t)
The equation of the tangent is,
It passes through the point (2,3), then
The point of contact can be (1,2) or (4,4)
Let a point on the circle be P(x1,y1).
Then the chord of contact of the parabola w.r.t. P is
Comparing with y=2(x−2), we have
y1=1 and x1=−2,
which also satisfy the circle.