GATE EC 2015 Set 2 — Question 9
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General Aptitude → Quantitative Aptitude
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Question
If , then lies in the interval
Correct answer
(B) [-1/2, 1]
Solution
Let .
We know that .
Given , we have:
Since the square of any real number is non-negative, .
.Also, we know that .
Expanding this:
.Combining the two results, we get .
Thus, lies in the interval .
We know that .
Given , we have:
Since the square of any real number is non-negative, .
.Also, we know that .
Expanding this:
.Combining the two results, we get .
Thus, lies in the interval .
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