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KCET 2025 Math Paper

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Question : 11

Total: 60

Let the functions " f " and " g " be f:[0,‌

]⟶R given by f(x)=sin‌x and g:[0,‌

]⟶R given by g(x)=cos‌x, where R is the set of real numbers
Consider the following statements:
Statement (I): f and g are one-one
Statement (II): f+g is one-one
Which of the following is correct?

Statement (I) is true, statement (II) is false
Statement (I) is false, statement (II) is true
Both statements (I) and (I) are true
Both statements (I) and (II) are false

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