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Mathematics

The value of b when

xy
312
b9
123

is:

  1. 4

  2. 36

  3. 24

  4. none of these

Direct & Inverse Variations

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Answer

3 x 12 = 36

12 x 3 = 36

So we can say x and y vary inversely

a1b1=a2b2[∵a varies inversely to b]⇒3×12=b×9⇒36=b×9⇒b=369⇒b=4a1b1 = a2b2 \quad [\because \text{a varies inversely to b}] \\[1em] \Rightarrow 3 \times 12 = b \times 9\\[1em] \Rightarrow 36 = b \times 9\\[1em] \Rightarrow b = \dfrac{36}{9}\\[1em] \Rightarrow b = 4

Hence, option 1 is the correct option.

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