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Mathematics

If x is in inverse variation with y and x = 4 when y = 6, the value of x when y = 12 is:

  1. 2

  2. 18

  3. 8

  4. 12

Direct & Inverse Variations

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Answer

Since it is a case of inverse variation,

4×6=x×1224=12xx=2412x=2\therefore 4 \times 6 = x \times 12\\[1em] \Rightarrow 24 = 12x\\[1em] \Rightarrow x = \dfrac{24}{12}\\[1em] \Rightarrow x = 2

Hence, option 1 is the correct option.

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