Solved papers for JEE Main & Advanced AIEEE Solved Paper-2005

done AIEEE Solved Paper-2005 Total Questions - 3

• question_answer1) If the coefficients of rth,\[(r+1)th\] and\[(r+2)th\]terms in the binomial expansion of\[{{(1+y)}^{m}}\]are in AP, then m and r satisfy the equation     AIEEE  Solved  Paper-2005
  A)
  \[{{m}^{2}}-m(4r-1)+4{{r}^{2}}+2=0\]
  done clear
  B)
  \[{{m}^{2}}-m(4r+1)+4{{r}^{2}}-2=0\]
  done clear
  C)
  \[{{m}^{2}}-m(4r+1)+4{{r}^{2}}+2=0\]
  done clear
  D)
  \[{{m}^{2}}-m(4r-1)+4{{r}^{2}}-2=0\]
  done clear
  View Answer play_arrow

• question_answer2) If the coefficient of\[{{x}^{7}}\]in\[{{\left[ a{{x}^{2}}+\left( \frac{1}{bx} \right) \right]}^{11}}\]equals  the  coefficient  of\[{{x}^{-7}}\]in\[{{\left[ ax-\left( \frac{1}{b{{x}^{2}}} \right) \right]}^{11}},\]then a and b satisfy the relation     AIEEE  Solved  Paper-2005
  A)
  \[ab=1\]                              
  done clear
  B)
  \[\frac{a}{b}=1\]             
  done clear
  C)
                         \[a+b=1\]           
  done clear
  D)
         \[a-d=1\]
  done clear
  View Answer play_arrow

• question_answer3) If\[x\]is so small that\[{{x}^{3}}\]and higher powers of\[x\]   may  be   neglected, then \[\frac{{{(1+x)}^{3/2}}-{{\left( 1+\frac{1}{2}x \right)}^{3}}}{{{(1-x)}^{1/2}}}\]may be approximated as     AIEEE  Solved  Paper-2005
  A)
   \[\frac{x}{2}-\frac{3}{8}{{x}^{2}}\]          
  done clear
  B)
         \[-\frac{3}{8}{{x}^{2}}\]
  done clear
  C)
         \[3x+\frac{3}{8}{{x}^{2}}\]          
  done clear
  D)
         \[1-\frac{3}{8}{{x}^{2}}\]
  done clear
  View Answer play_arrow