MathematicsMedium127×since 2002Q3115If P(6,1)\mathrm{P}(6,1)P(6,1) be the orthocentre of the triangle whose vertices are A(5,−2),B(8,3)\mathrm{A}(5,-2), \mathrm{B}(8,3)A(5,−2),B(8,3) and C(h,k)\mathrm{C}(\mathrm{h}, \mathrm{k})C(h,k), then the point C\mathrm{C}C lies on the circle :Ax2+y2−74=0x^2+y^2-74=0x2+y2−74=0Bx2+y2−65=0x^2+y^2-65=0x2+y2−65=0Cx2+y2−61=0x^2+y^2-61=0x2+y2−61=0Dx2+y2−52=0x^2+y^2-52=0x2+y2−52=0Check answerSkip