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JAMIA MILLIA ISLAMIA Jamia Millia Islamia Solved Paper-2004

  • question_answer
        The equation of the chord of the circle, \[{{x}^{2}}-5x+6=0\] having \[{{y}^{2}}-6y+5=0\] as its mid-point, is:

    A)  \[x+4y=13\]

    B)  \[y=4x-7\]

    C)  \[4x+y=13\]

    D)  \[4y=x-7\]

    Correct Answer: C

    Solution :

                    \[T={{S}_{1}}\]is the equation of chord, hence, \[x{{x}_{1}}+y{{y}_{1}}-{{a}^{2}}=x_{1}^{2}+y_{1}^{2}-{{a}^{2}}\] \[\Rightarrow \]               \[x{{x}_{1}}+y{{y}_{1}}=x_{1}^{2}+y_{1}^{2}\]


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