If the tangent to the parabola $y^2 = ax$ makes an angle of $45^{\circ}$ with the $x$-axis,what is its point of contact?

  • A
    $\left( \frac{a}{4}, \frac{a}{2} \right)$
  • B
    $\left( \frac{a}{2}, \frac{a}{2} \right)$
  • C
    $\left( -\frac{a}{2}, \frac{a}{4} \right)$
  • D
    $\left( -\frac{a}{4}, \frac{a}{2} \right)$

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