Published by:
CGP EDU Academic Team
Published on: August 14, 2026
If x, m satisfy the inequations log 1/2 x 2 ≥ log 1/2 (x + 2) and 49x 2 – 4m 4 ≤ 0, then
A
m ∈ (– ∞ –a]
B
m ∈ (– ∞ , a)
C
m ∈ (– ∞ , – 
] ∪ [ 
, ∞ )
] ∪ [ , ∞ )
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
D
log 1/2 x 2 ≥ log 1/2 (x + 2)
⇒ x 2 –x –2 ≤ 0 ⇒ x ∈ [–1, 2] –{0}
and 49x 2 ≤ 4m 4 ⇒ – 
m
2 ≤ x ≤ 
m 2
⇒ m ∈ 
– {0}
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