यदि \(\int \frac{1}{a^{2} \sin ^{2} x+b^{2} \cos ^{2} x} d x=\frac{1}{18} \tan ^{-1}(2 \tan x)+C\) है, तो a sinx + b cosx का अधिकतम मान है:

1
3√5
2
2 √10
3
- 2 √10
4
- 2 √5

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