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

done AIEEE Solved Paper-2004 Total Questions - 3

• question_answer1) A point on the parabola\[{{y}^{2}}=18x\]at which the ordinate increases at twice the rate of the abscissa, is
  A)
  (2, 4)                     
  done clear
  B)
  (2, -4)   
  done clear
  C)
         \[\left( -\frac{9}{8},\frac{9}{2} \right)\]        
  done clear
  D)
         \[\left( \frac{9}{8},\frac{9}{2} \right)\]
  done clear
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• question_answer2) A variable circle passes through the fixed point \[A(p,\text{ }q)\]and touches x-axis. The locus of the other end of the diameter through A is
  A)
  \[{{(x-p)}^{2}}=4qy\]     
  done clear
  B)
  \[{{(x-q)}^{2}}=4qy\]
  done clear
  C)
                         \[{{(y-p)}^{2}}=4qx\]     
  done clear
  D)
  \[{{(y-q)}^{2}}=4px\]
  done clear
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• question_answer3) If\[a\ne 0\]and the line\[2bx+3cy+4d=0\]passes through the points of intersection of the parabolas\[{{y}^{2}}=4\text{ }ax\]and\[{{x}^{2}}=4\text{ }ay,\]then
  A)
  \[{{d}^{2}}+{{(2b+3c)}^{2}}=0\]
  done clear
  B)
  \[{{d}^{2}}+{{(3b+2c)}^{2}}=0\]
  done clear
  C)
  \[{{d}^{2}}+{{(2b-3c)}^{2}}=0\]
  done clear
  D)
  \[{{d}^{2}}+{{(3b-2c)}^{2}}=0\]
  done clear
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