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For what value of y is the expression \(\frac{y + 2}{y^{2} - 3y - 10}\)...

Mathematics
WAEC 1991

For what value of y is the expression \(\frac{y + 2}{y^{2} - 3y - 10}\) undefined?

  • A. y = 0
  • B. y = 2
  • C. y = 3
  • D. y = 5
  • E. y = 10
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Correct Answer: Option D
Explanation

\(\frac{y + 2}{y^2 - 3y - 10}\) 

\(y^2 - 3y - 10 = 0 \implies y^2 - 5y + 2y - 10 = 0\)

\(y(y - 5) + 2(y - 5) = 0\)

\((y - 5)(y + 2) = 0\)

\(\frac{y + 2}{(y - 5)(y + 2)} = \frac{1}{y - 5}\)

\(\therefore\) At y = 5, the expression \(\frac{y + 2}{y^2 - 3y - 10}\) is undefined.


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Post-UTME Past Questions - Original materials are available here - Download PDF for your school of choice + 1 year SMS alerts
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Post UTME Past Questions Agent
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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