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

done AIEEE Solved Paper-2005 Total Questions - 4

• question_answer1) If the circles\[{{x}^{2}}+{{y}^{2}}+2ax+cy+a=0\]and \[{{x}^{2}}+{{y}^{2}}-3\text{ }ax+dy-1=0\]intersect in two distinct points P and 0, then the line \[5x+by-a=0\]passes through P and Q for     AIEEE  Solved  Paper-2005
  A)
  exactly two values of a
  done clear
  B)
  infinitely many values of a
  done clear
  C)
  no value of a
  done clear
  D)
  exactly one value of a
  done clear
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• question_answer2) A circle touches the X-axis and also touches the circle with centre at (0, 3) and radius 2. The locus of the centre of the circle is       AIEEE  Solved  Paper-2005
  A)
  a parabola        
  done clear
  B)
         a hyperbola       
  done clear
  C)
         a circle            
  done clear
  D)
         an ellipse
  done clear
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• question_answer3) If a circle passes through the point (a, b) and  cuts  the  circle\[{{x}^{2}}+{{y}^{2}}={{p}^{2}}\]orthogonally, then the equation of the locus of its centre is     AIEEE  Solved  Paper-2005
  A)
  \[2ax+2by-({{a}^{2}}+{{b}^{2}}+{{p}^{2}})=0\]
  done clear
  B)
  \[{{x}^{2}}+{{y}^{2}}-2ax-3by+({{a}^{2}}-{{b}^{2}}-{{p}^{2}})=0\]
  done clear
  C)
  \[2ax+2by-({{a}^{2}}-{{b}^{2}}+{{p}^{2}})=0\]
  done clear
  D)
  \[{{x}^{2}}+{{y}^{2}}-3ax-4by+({{a}^{2}}+{{b}^{2}}-{{p}^{2}})=0\]
  done clear
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• question_answer4) If the pair of linesa\[{{x}^{2}}+2(a+b)xy+b{{y}^{2}}=0\] lie along diameters of a circle and divide the circle into four sectors such that the area of one of the sector is thrice the area of another sector, then     AIEEE  Solved  Paper-2005
  A)
  \[3{{a}^{2}}+2ab+3{{b}^{2}}=0\]
  done clear
  B)
  \[3{{a}^{2}}+10ab+3{{b}^{2}}=0\]
  done clear
  C)
  \[3{{a}^{2}}-2ab+3{{b}^{2}}=0\]
  done clear
  D)
  \[3{{a}^{2}}-10ab+3{{b}^{2}}=0\]
  done clear
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