A) A straight line at right angle to the given line
B) A circle concentric with the given circle
C) A parabola with its axis parallel to the given line
D) A parabola with its axis perpendicular to the given line
Correct Answer: D
Solution :
[d] Let the given line be the y-axis and the circle to Have the eq. \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\] then according to given condition \[{{x}^{2}}+{{y}^{2}}+2gx+2fy+c=0\] then according to given condition \[{{x}^{2}}={{(x+g)}^{2}}+{{(y+f)}^{2}}-({{g}^{2}}+{{f}^{2}}-c)\] \[\Rightarrow {{(y+f)}^{2}}=-2g\left( x-\frac{{{f}^{2}}-c}{2g} \right),\] Which represents a parabola with its axis \[\bot \] to y-axis.You need to login to perform this action.
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