Published by:
CGP EDU Academic Team
Published on: August 12, 2026
The expression 
lies in the interval 
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
C
Let y = x 2 +2x + 1/x 2 + 2x + 7
x 2 (1– y) + 2x (1–y)+1–7y = 0, As x is real, so D ≥ 0;
i.e. 4(1 – y) 2 – 4(1 – y) (1 – 7y) ≥ 0;
1 + y 2 –2y–7y 2 + 8y – 1 ≥ 0
– 6y 2 + 6y ≥ 0 = y 2 – y ≤ 0
y ∈ [0, 1) (As y ≠ 1)
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