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Question

Which of the following statement(s) is/are true for the curve f(x)=cos2x

A
Graph of f(x) is symmetrical with respect to yaxis
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B
Range of f(x) is [2,2]
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C
Range of f(x) is [1,1]
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D
Period of f(x) is 2π
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Solution

The correct option is C Range of f(x) is [1,1]

It can be observed from the graph
(i) f(x) is symmetrical w.r.t. yaxis.
(ii) Range of f(x) is [1,1]
(iii) Period of f(x) is π

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