A) \[3\]
B) \[4\]
C) \[6\]
D) \[7\]
Correct Answer: D
Solution :
[d] We have \[y=\sqrt{9-{{a}^{2}}+2ax-{{x}^{2}}}\] \[\Rightarrow \,\,\,\,\,\,{{y}^{2}}+{{(x-a)}^{2}}=9\] And \[y=\sqrt{16-{{x}^{2}}}\] \[\Rightarrow \,\,\,\,\,\,\,{{y}^{2}}+{{x}^{2}}=16\] The given equations represent semicircles. If \[a>7,\] then no solution exists. Thus, \[a\le 7\].\ Hence, maximum value of a is 7.You need to login to perform this action.
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