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

done AIEEE Solved Paper-2004 Total Questions - 3

• question_answer1) If a circle passes through the point [a, b) and cuts the circle\[{{x}^{2}}+{{y}^{2}}=4\]orthogonally, then the locus of its centre is
  A)
  \[2ax+2by+({{a}^{2}}+{{b}^{2}}+4)=0\]
  done clear
  B)
  \[2\,ax\,+2by-({{a}^{2}}+{{b}^{2}}\,+4)=0\]
  done clear
  C)
  \[2ax-2by+({{a}^{2}}+{{b}^{2}}+4)=0\]
  done clear
  D)
  \[2ax-2by-({{a}^{2}}+{{b}^{2}}+4)=0\]
  done clear
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• question_answer2) If the lines\[2x+3y+1=0\]and\[3x-y-4=0\]lie along diameters of a circle of circumference\[10\pi ,\]then the equation of the circle is
  A)
  \[{{x}^{2}}+{{y}^{2}}-2x+2y-23=0\]
  done clear
  B)
  \[{{x}^{2}}+{{y}^{2}}-2x-2y-23=0\]
  done clear
  C)
  \[{{x}^{2}}+{{y}^{2}}+2x+2y-23=0\]
  done clear
  D)
  \[{{x}^{2}}+{{y}^{2}}+2x-2y-23=0\]
  done clear
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• question_answer3) The intercept on the line\[y=x\]by the circle\[{{x}^{2}}+{{y}^{2}}-2x=0\]is AB. Equation of the circle on AB as a diameter is
  A)
  \[{{x}^{2}}+{{y}^{2}}-x-y=0\]     
  done clear
  B)
  \[{{x}^{2}}+{{y}^{2}}-x+y=0\]
  done clear
  C)
         \[{{x}^{2}}+{{y}^{2}}+x+y=0\]
  done clear
  D)
        \[{{x}^{2}}+{{y}^{2}}+x-y=0\]
  done clear
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