The equation of the tangent at the point $(a \sec \theta, b \tan \theta)$ of the conic $\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1$ is:

  • A
    $x \sec^2 \theta - y \tan^2 \theta = 1$
  • B
    $\frac{x}{a} \sec \theta - \frac{y}{b} \tan \theta = 1$
  • C
    $\frac{x + a \sec \theta}{a^2} - \frac{y + b \tan \theta}{b^2} = 1$
  • D
    None of these

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