A) \[{{x}^{2}}+{{y}^{2}}+10x=0\]
B) \[{{x}^{2}}+{{y}^{2}}+10y=0\]
C) \[{{x}^{2}}+{{y}^{2}}-10x=0\]
D) \[{{x}^{2}}+{{y}^{2}}-5x=0\]
Correct Answer: C
Solution :
For parabola, \[{{y}^{2}}=8x\]Þ\[4a=8\]Þ\[a=2\] vertex of \[{{y}^{2}}=8x,\,\,O\equiv (0,0)\] End points of latus-ractum \[L(a,2a);\,L'(a,-2a)\] Þ\[L(2,4);L'(2,-4)\] Circle passes through the point (0,0) (2,4) and (2,?4) Let equation of circle, \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\] \ After solving equation of circle,\[{{x}^{2}}+{{y}^{2}}-10x=0\] Trick: option (c) satisfied by (2, 4) and (2,?4).
You need to login to perform this action.
You will be redirected in
3 sec
