Solved papers for JEE Main & Advanced AIEEE Solved Paper-2004

done AIEEE Solved Paper-2004 Total Questions - 2

• question_answer1) Let\[\alpha ,\beta \]be such that\[\pi <\alpha -\beta <3\pi .\].If\[\sin \alpha +\sin \beta =-\frac{21}{65}\]and\[\cos \alpha +\cos \beta =-\frac{27}{65},\]then the value of\[\cos \left( \frac{\alpha -\beta }{2} \right)\]is
  A)
  \[-\frac{3}{\sqrt{130}}\]               
  done clear
  B)
         \[\frac{3}{\sqrt{130}}\] 
  done clear
  C)
         \[\frac{6}{65}\]
  done clear
  D)
                         \[-\frac{6}{65}\]
  done clear
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• question_answer2) 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)
  \[2({{a}^{2}}+{{b}^{2}})\]  
  done clear
  B)
         \[2\sqrt{{{a}^{2}}+{{b}^{2}}}\]  
  done clear
  C)
         \[{{(a+b)}^{2}}\]          
  done clear
  D)
         \[{{(a-b)}^{2}}\]
  done clear
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