Q45 / 60 · IAT (IISER) 2018 · Mathematics

Let \(\mathcal{P}\) denote a parabola in the plane and let a point \(A \in \mathcal{P}\) be given. How many lines \(\ell\) in the plane satsify \(\ell \cap \mathcal{P}=\{A\} ?\)

  • Correct answer
    A
    2
  • B
    1
  • C
    Infinitely many
  • D
    0

Hence, the correct answer is option: 'A'.