If 2 2 22 22 2 2 ua b a b = q+ q+ q+ q cos sin sin cos then the difference between the maximum and minimum values of u 2 is given by

Question:

If $u=\sqrt{a^{2} \cos ^{2} \theta+b^{2} \sin ^{2} \theta}+\sqrt{a^{2} \sin ^{2} \theta+b^{2} \cos ^{2} \theta}$ then the difference between the maximum and minimum values of $u^{2}$ is given by

  1. $(a-b)^{2}$

  2. $2 \sqrt{a^{2}+b^{2}}$

  3. $(a+b)^{2}$

  4. $2\left(a^{2}+b^{2}\right)$


Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Mathematics Trigonometry chapter.
JEE Main Previous Year 2004

Solution:

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