If cos (a + b) = 3 5 , sin(a – b) = 5 13 and 0 < a, b < 4 p , then tan(2a) is equal to :

Question:

If $\cos (\alpha+\beta)=\frac{3}{5}, \sin (\alpha-\beta)=\frac{5}{13}$ and $0<\alpha, \beta<\frac{\pi}{4}$, then $\tan (2 \alpha)$ is equal to :

  1. $\frac{63}{52}$

  2. $\frac{63}{16}$

  3. $\frac{21}{16}$

  4. $\frac{33}{52}$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.
JEE Main Previous Year April 8, 2019 (I)

Solution:

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