_____ is the subduplicate ratio of $121 : 100$

121^{2} : 100^{2}

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100 : 121

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10 : 11

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11 : 10

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Solution

The correct option is D $11 : 10$
The subduplicate ratio of $a : b$ is $\sqrt{a} : \sqrt{b}$
$∴$ The subduplicate ratio of $121 : 100$ is $\sqrt{121} : \sqrt{100} = 11 : 10$

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Similar questions

(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + \dots \dots + 10 (11)^{9} = k (10)^{9}

(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + . . . + 10 (11)^{9} = k (10)^{9},

(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + \dots \dots + 10 (11)^{9} = k (10)^{9}

If $(10)^{9} + 2 (11)^{1} (10)^{8} + 3 (11)^{2} (10)^{7} + . . . + 10 (11)^{9} = k (10)^{9},$ then k is equals to:
(IIT JEE Main 2014)

{log}_{e} 121

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