If cos(α + β) = 3/5, sin(α - β) = 5/13 and 0 < α, β < π/4, then tan(2α) is equal to:

Correct option is D. 63/16
0 < α + β < π/2 and -π/4 < α - β < π/4
if cos(α + β) = 3/5 then tan(α + β) = 4/3
and if sin(α - β) = 5/13 (since α - β here lies in the first quadrant)
Now tan(2α) = tan((α + β) + (α - β)) = (tan(α + β) + tan(α - β)) / (1 - tan(α + β) * tan(α - β))
= (4/3 + 5/12) / (1 - (4/3) * (5/12)) = (16/12 + 5/12) / (1 - 20/36) = (21/12) / (16/36) = (7/4) / (4/9) = 63/16