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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