Question:
If x is real number, then
(x)/(x²-5x+9)
must lie between
If x is real number, then
(x)/(x²-5x+9)
must lie between
Show Hint
Find extrema using derivative to get range.
Updated On: Mar 20, 2026
- \(\frac1{11}\) and \(1\)
- \(-1\) and \(\frac1{11}\)
- \(-11\) and \(1\)
- -\frac111 and 1
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The Correct Option is D
Solution and Explanation
Extrema occur at x=±3.
y(3)=1, y(-3)=-\frac111
Hence the range is [-\frac111,1].
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