Q.
The range of the functions. Observe the following lists. List - I List – II A) x - [x] 1) [0, 5] B) 25−x2 2) [13, 1] C) 12−cos3x 3) (0, 5) 4) sin2x + cos4x 4) [0, 1) 5) [34, 1] The correct match for list I from list II
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a
A-4, B-1, C-2, D-5
b
A-4, B-3, C-2, D-5
c
A-4, B-3, C-5, D-2
d
A-3, B-1, C-4, D-2
answer is A.
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Detailed Solution
(A) range of x−[x]=[0,1] (B) Range of 25−x2=[0,5] (C ) 13≤12−cos3x≤1=[13,1] (D) sin2x+cos2x(1−sin2x) =1−14sin22x Range =[34,1] 4, 1, 2, 5
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