Question:
If x is a real number, then (x)/(x²-5x+9) must lie between
If x is a real number, then (x)/(x²-5x+9) must lie between
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Rational functions attain extrema where derivative is zero.
Updated On: Mar 19, 2026
- (1)/(11) and 1
- -(1)/(11) and 1
- -11 and 1
- -(1)/(11) and 1
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The Correct Option is B
Solution and Explanation
Differentiate:
y=(x)/(x²-5x+9)
Critical points occur at x=±3.
y(3)=1, y(-3)=-(1)/(11)
Hence, the expression lies between -(1)/(11) and 1.
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