circle

Question: The locus of the centre of a circle which cuts orthogonally the circle ${{x}^{2}}+{{y}^{2}}-20x+4=0$ and which touches $x=2$ is



1) ${{y}^{2}}=16x+4$
2) ${{x}^{2}}=16y$
3) ${{x}^{2}}=16y+4$
4) ${{y}^{2}}=16x$
Solution: Explanation: No Explanation
System of circles

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