$A B C$ is a triangle right angled at $B$. The hypotenuse $(A C)$ is four times the perpendicular $(B D)$ is four times the perpendicular $(B D)$ drawn to its from the opposite vertex and $A D \lt D C$. What is $\tan (A-C)$ equal to?

• A

  0
• B

  1
• C

  2
• Correct answer
  D

  None of the above

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