A) \[{{\left( y-2 \right)}^{2}}y{{'}^{2}}=25-{{\left( y-2 \right)}^{2}}\]
B) \[{{\left( x-2 \right)}^{2}}y{{'}^{2}}=25-{{\left( y-2 \right)}^{2}}\]
C) \[\left( x-2 \right)y{{'}^{2}}=25-{{\left( y-2 \right)}^{2}}\]
D) \[\left( y-2 \right)y{{'}^{2}}=25-{{\left( y-2 \right)}^{2}}\]
Correct Answer: A
Solution :
Equation of circle can be \[{{\left( x-a \right)}^{2}}+{{\left( y-2 \right)}^{2}}=25\] ? (i) \[\Rightarrow \,\,a=x+\left( y-2 \right)y'\] ? (ii) Using (ii) in (i), we get \[{{\left( y-2 \right)}^{2}}y{{'}^{2}}=25-{{\left( y-2 \right)}^{2}}\]
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