A) 4
B) 5
C) 6
D) 9
E) 11
Correct Answer: C
Solution :
Equation of circle touching\[x-\]axis is \[{{x}^{2}}-2hx+{{h}^{2}}+{{y}^{2}}-2ay=0\] It passes through (2, 2) and (9, 9) \[\Rightarrow \] \[4-4h-{{h}^{2}}+4-4a=0\] ...(i) and \[81-18h+81+{{h}^{2}}-18a=0\] ...(ii) On solving Eqs. (i) and (ii), we get \[7{{h}^{2}}-252=0\] \[\Rightarrow \] \[{{h}^{2}}=36\]\[\Rightarrow \]\[h=6\]
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