question_answer

If \[y=2x\] is a chord of the circle \[{{x}^{2}}+{{y}^{2}}-10x=0,\] find the equation of circle with this chord as diameter.

A)  \[{{x}^{2}}+{{y}^{2}}-2x+4y=0\]

B)  \[{{x}^{2}}+{{y}^{2}}-2x-4y=0\]

C)  \[{{x}^{2}}-{{y}^{2}}\,\text{+}\,2x-\text{6}y=0\]

D)  \[{{x}^{2}}+{{y}^{2}}-4x+6y=0\]

E)  None of these