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If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r

Mathematics
WAEC 2008

If p = \(\frac{3}{5} \sqrt{\frac{q}{r}}\), express q in terms of p and r
  • A. \(\frac{9}{25} pr^2\)
  • B. \(\frac{9}{25} p^2r\)
  • C. \(\frac{25}{9} p^2r\)
  • D. \(\frac{25}{9} pr^2\)
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Correct Answer: Option C
Explanation
p = \(\frac{3}{5} \sqrt{\frac{q}{r}}; \frac{5p}{3} = \sqrt{\frac{q}{r}}\)

= (\(\frac{5}{3}p\))2

= \(\frac{q}{r}\)

= \(\frac{25p^2}{9} = \frac{q}{r}\)

q = \(\frac{25}{9} p^2 r\)

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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
NECO June/July 2024 - Get offline past questions & answers - Download objective & theory, all in one app 48789
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