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JEE Math Practice Question

If $$\mathrm{P}(6,1)$$ be the orthocentre of the triangle whose vertices are $$\mathrm{A}(5,-2), \mathrm{B}(8,3)$$ and $$\mathrm{C}(\mathrm{h}, \mathrm{k})$$, then the point $$\mathrm{C}$$ lies on the circle :

  1. A.$$x^2+y^2-74=0$$
  2. B.$$x^2+y^2-65=0$$
  3. C.$$x^2+y^2-61=0$$
  4. D.$$x^2+y^2-52=0$$

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