A) 4 and 9
B) 10 and 3.6
C) 72 and 0.5
D) 5 and 6
Correct Answer: D
Solution :
For inverse proportion, \[xy=constant\] or \[{{x}_{1}}{{y}_{1}}={{x}_{2}}{{y}_{2}}\] [a] As, \[{{x}_{1}}{{y}_{1}}=12\times 3=36\] \[{{x}_{2}}{{y}_{2}}=4\times 9=36\] \[\therefore {{x}_{1}}{{y}_{1}}={{x}_{2}}{{y}_{2}}\] [b] As, \[{{x}_{1}}{{y}_{1}}=36;{{x}_{2}}{{y}_{2}}=10\times 3.6=36\] \[\therefore {{x}_{1}}{{y}_{1}}={{x}_{2}}{{y}_{2}}\] [c] As, \[{{x}_{1}}{{y}_{1}}=36;{{x}_{2}}{{y}_{2}}=72\times 0.5=36\] [d] As, \[{{x}_{1}}{{y}_{1}}=36;{{x}_{2}}{{y}_{2}}=5\times 6=30\] \[\therefore \]\[{{x}_{1}}{{y}_{1}}\ne {{x}_{2}}{{y}_{2}}\]
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