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A binary operation ∆ is defined on the set of real numbers R, by x∆y...

Further Mathematics
WAEC 2022

A binary operation ∆ is defined on the set of real numbers R, by x∆y = \(\sqrt{x+y - \frac{xy}{4}}\), where x, yER. Find the value of 4∆3

  • A. 16
  • B. 8
  • C. 4
  • D. 2
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Correct Answer: Option D
Explanation

x∆y = \(\sqrt{x+y - \frac{xy}{4}}\)

4∆3 = \(\sqrt{4+3 - \frac{4*3}{4}}\) 

= \(\sqrt{4+3-3}\)

= \(\sqrt{4}\)

= 2.


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WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
WAEC offline past questions - with all answers and explanations in one app - Download for free
WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 24709
WAEC May/June 2024 - Practice for Objective & Theory - From 1988 till date, download app now - 99995
Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts