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H varies directly as p and inversely as the square of y. If H =...

Mathematics
WAEC 2019

H varies directly as p and inversely as the square of y. If H = 1, p = 8 and y = 2, find H in terms of p and y.

  • A. H = \(\frac{p}{4y^2}\)
  • B. H = \(\frac{2p}{y^2}\)
  • C. H = \(\frac{p}{2y^2}\)
  • D. H = \(\frac{p}{y^2}\)
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Correct Answer: Option C
Explanation

H \(\propto\) \(\frac{p}{y^2}\) 

H = \(\frac{pk}{y^2}\) 

1 = \(\frac{8k}{2^2}\)

k = \(\frac{4}{8}\)

= \(\frac{1}{2}\)

H = \(\frac{p}{2y^2}\)


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NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
Join your school's WhatsApp group
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
Join your school's WhatsApp group