Answer is (A) (2, 8)
Given that
y = 6x - x2 (1)
dy/dx = 6 - 2x
Since, the tangent is parallel to the line
4x - 2y - 1 = 0
Therefore,
dy/dx = 6 - 2x = -4/-2 ⇒ 6 - 2x = 2 ⇒ x = 2
Substituting the value of x in Eq. (1), we get y = 8. Hence, the required point of tangency will be (2,8).