A) \[{{x}^{2}}+{{y}^{2}}-5x=0\]
B) \[2{{x}^{2}}+2{{y}^{2}}-5x=0\]
C) \[{{x}^{2}}+{{y}^{2}}+5x=0\]
D) None of these
Correct Answer: B
Solution :
We have the equation of circle \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\] But it passes through (0, 0) and (2, 1), then \[c=0\] ?.(i) \[5+4g+2f=0\] ?.(ii) Also \[\sqrt{{{g}^{2}}+{{f}^{2}}-c}=\ |g|\] Þ \[f=0\] \[\{\because \ c=0\}\] From (ii), \[g=-\frac{5}{4}\] Hence the equation will be\[2{{x}^{2}}+2{{y}^{2}}-5x=0\].You need to login to perform this action.
You will be redirected in
3 sec