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 )
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 )
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 )