Solved papers for JEE Main & Advanced JEE Main Paper (Held On 9 April 2014)

done JEE Main Paper (Held On 9 April 2014) Total Questions - 3

• question_answer1) If equations \[a{{x}^{2}}+bx+c=0(a,b,c\in R,a\ne 0)\]and \[2{{x}^{2}}+3x+4=0\]have a common root, then a : b : c equals:   [JEE Main Online Paper ( Held On 09 Apirl  2014  )
  A)
  : 2 : 3                     
  done clear
  B)
  2 : 3 : 4
  done clear
  C)
  4 : 3 : 2                 
  done clear
  D)
  3 : 2 : 1
  done clear
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• question_answer2) If\[\frac{1}{\sqrt{\alpha }}\]and\[\frac{1}{\sqrt{\beta }}\] are the roots of the equation,\[a{{x}^{2}}+bx+1=0\]\[(a\ne 0,a,b,\in R),\]then the equation,\[x\left( x+{{b}^{3}} \right)+\left( {{a}^{3}}-3abx \right)=0\]has roots:   [JEE Main Online Paper ( Held On 09 Apirl  2014  )
  A)
  \[{{\alpha }^{{}^{3}/{}_{2}}}\]and\[{{\beta }^{{}^{3}/{}_{2}}}\]  
  done clear
  B)
  \[\alpha {{\beta }^{{}^{1}/{}_{2}}}\]and\[{{\alpha }^{{}^{1}/{}_{2}}}\beta \]
  done clear
  C)
   \[\sqrt{\alpha \beta }\]and\[\alpha \beta \]      
  done clear
  D)
  \[{{\alpha }^{-\frac{3}{2}}}\]and\[{{\beta }^{-\frac{3}{2}}}\]
  done clear
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• question_answer3) If \[f(x)={{\left( \frac{3}{5} \right)}^{x}}+{{\left( \frac{4}{5} \right)}^{x}}=-1,x\in R,\]then the equation f(x) =0 has :   [JEE Main Online Paper ( Held On 09 Apirl  2014  )
  A)
  no solution
  done clear
  B)
  one solution
  done clear
  C)
  two solutions
  done clear
  D)
  more than two solutions
  done clear
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