JEE Main & Advanced Sample Paper JEE Main Sample Paper-40

  • question_answer
    If tangents be drawn to the cricle x2 + y2 = 12 at its points of intersection with the circle x2 + y2 - 5x + 3y - 2 = 0, then the tangents intersect at the point

    A) \[\left( -6,\frac{18}{5} \right)\]           

    B) \[\left( 6,\frac{18}{5} \right)\]

    C) \[\left( -6,\frac{18}{5} \right)\]           

    D) \[\left( 6,-\frac{18}{5} \right)\]

    Correct Answer: D

    Solution :

    Let the point of contact be (h,k); equation of chord of contact is T = 0 \[\Rightarrow \]\[xh-yk-12=0\]                              ...........(i) Equation of common chord \[{{C}_{1}}-{{C}_{2}}=0\] \[5x-3y-10=0\]..........(ii) (i) and (ii) represent the same line \[\Rightarrow \]\[h/k=k/(-3)=-12/(-10)\] \[\Rightarrow \]\[h=6.k=-18/5\]


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