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Friday, 06 March 2026
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A variable y is inversely proportional to x2, when y = 10, x = 2. What is y when x = 10?

A variable y is inversely proportional to x2, when y = 10, x = 2. What is y when x = 10?
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  • A 2
  • B 4
  • C 100
  • D 0.4
  • E 0.1
Correct Answer: Option D
Explanation:
y \(\alpha\) \(\frac{1}{x^2}\)
y = \(\frac{k}{x^2}\)
k = x2y
= (2)2 x 10
= 40
y = \(\frac{40}{x^2}\)
= \(\frac{40}{(10)^2}\)
= \(\frac{40}{100}\)
= 0.4

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