Differentiation & Applications · JEE Main previous year questions

2004 1 question

1. Q22004 · 24 Apr 2004 · Shift 1

   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.$(a-b{)}^2$
   2. B.$2\sqrt{a^2+b^2}$
   3. C.$(a+b{)}^2$
   4. D.$2(a^2+b^2)$
   Show answer

   Answer: A