Q83 / 160 · TS EAMCET 2025 (02 May Shift 1) · Mathematics

A line L perpendicular to the line $5 x-12 y+6=0$ makes positive intercept on the Y axis. If the distance from the origin to the line L is 2 units and the angle made by the perpendicular drawn from the origin to the line L with positive X -axis is $\theta$, then $\tan \theta+\cot \theta=$

  • A
    $\frac{25}{12}$
  • B
    $\frac{625}{168}$
  • Correct answer
    C
    $\frac{169}{60}$
  • D
    $\frac{1681}{360}$

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

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