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B
(−2,−1)
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C
[−1,1]
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D
(−2,2)
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Solution
The correct options are A(1,2) B(−2,−1) Given (x2−4)√x2−1<0 for inequality to define we must have x2−1>0 or(x−1)(x+1)>0 orx<−1orx>1⋯(1)
also(x2−4)√x2−1<0 as we know that square root is always non negative quantity ∴x2−4<0⇒(x−2)(x+2)<0 ⇒−2<x<2⋯(2) From equation (1)and(2), we have x∈(−2,−1)∪(1,2)