A) 9 : 4
B) 16 : 81
C) 4 : 9
D) 2 : 3
Correct Answer: B
Solution :
Given that\[{{C}_{1}}:{{C}_{2}}=4:9\]We have, \[\frac{{{A}_{1}}}{{{A}_{2}}}=\frac{C_{1}^{2}}{C_{2}^{2}}=\frac{{{4}^{2}}}{{{9}^{2}}}=\frac{16}{81}\] \[\therefore \,\,{{A}_{1}}:{{A}_{2}}=16:81\]
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