2. Questions Bank
  3. JEE Main & Advanced
  4. Mathematics
  5. Circle and System of Circles

JEE Main & Advanced Mathematics Circle and System of Circles Question Bank Chord of contact of tangent, Pole and Polar

  • question_answer
    The common chord of the circle \[{{x}^{2}}+{{y}^{2}}+4x+1=0\] and \[{{x}^{2}}+{{y}^{2}}+6x+2y+3=0\] is                                                [MP PET 1991]

    A)            \[x+y+1=0\]                           

    B)            \[5x+y+2=0\]

    C)            \[2x+2y+5=0\]                      

    D)            \[3x+y+3=0\]

    Correct Answer: A

    Solution :

               \[{{S}_{1}}={{x}^{2}}+{{y}^{2}}+4x+1=0\]                    \[{{S}_{2}}={{x}^{2}}+{{y}^{2}}+6x+2y+3=0\]                    Common chord \[\equiv {{S}_{1}}-{{S}_{2}}=0\Rightarrow 2x+2y+2=0\]                    \[\Rightarrow x+y+1=0\].


You need to login to perform this action.
You will be redirected in 3 sec spinner