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$A, B, C$ and $D$ are four different physical quantities having different dimensions. None of them is dimensionless. But we know that the equation $AD = C\, ln\, (BD)$ holds true. Then which of the combination is not a meaningful quantity ?
  • A$\frac{C}{{BD}} - \frac{{A{D^2}}}{C}$
  • B${A^2} - {B^2}{C^2}$
  • C$\frac{A}{B} - C$
  • D$\frac{{\left( {A - C} \right)}}{D}$
JEE MAIN 2016, Diffcult
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