If tanθ = tan30° .tan60° and θ is an acute angle, then 2θ is equal to?

Answer: Option C

$$\begin{array}{rl}& \text{tan}\theta =\text{tan}30^{\circ }.\text{tan}60^{\circ }\\ & \text{tan}\theta =\frac{1}{\sqrt{3}}.\sqrt{3}\\ & \text{tan}\theta =1\\ & \text{tan}\theta =\text{tan}45^{\circ }\\ & \theta =45^{\circ }\\ & \therefore 2\theta =90^{\circ }\end{array}$$