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

  • question_answer
     Locus of the middle points of the chords of the circle \[{{x}^{2}}+{{y}^{2}}={{a}^{2}}\]which are parallel to \[y=2x\] will be

    A) A circle with radius a               

    B) A straight line with slope \[-\frac{1}{2}\]

    C) A circle will centre (0, 0)         

    D) A straight line with slope - 2

    Correct Answer: B

    Solution :

    Since locus of middle point of all chords is the diameter, perpendicular to the chord.


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