The equation of a given straight line is $\frac{x-x_1}{\cos \theta}=\frac{y-y_1}{\sin \theta}=\gamma$. If the equation of the line perpendicular to the given line and passing through $(\alpha, \beta)$ is $\frac{x}{a}+\frac{y}{b}=1$,then $\frac{b}{a}$ is equal to

  • A
    $\tan \theta$
  • B
    $-\tan \theta$
  • C
    $\cot \theta$
  • D
    $-\cot \theta$

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