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

\[2\sqrt{{{a}^{2}}+{{b}^{2}}}\]

If \[u=\sqrt{{{a}^{2}}{{\cos }^{2}}\theta +{{b}^{2}}{{\sin }^{2}}\thet

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
A.	\[2({{a}^{2}}+{{b}^{2}})\]
B.	\[2\sqrt{{{a}^{2}}+{{b}^{2}}}\]
C.	\[{{(a+b)}^{2}}\]
D.	\[{{(a-b)}^{2}}\]
Answer» E.

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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

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