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Mathematics Test 291

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Mathematics Test 291
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  • Question 1
    4 / -1

    Solution

     

  • Question 2
    4 / -1

    Solution
    • Not Injective: The sine function is periodic (sin⁡(x) = sin⁡(x + π)), meaning multiple input values map to the same output value.

    • Not Surjective: The range of the function is limited to [−1,1], which is not the entire codomain R.

    • Not Bijective: It fails both injectivity and surjectivity.

     

  • Question 3
    4 / -1

    If f and g are two increasing functions such that fog is defined, then which one of the following is correct ?

    Solution

     

  • Question 4
    4 / -1

    The equation of a plane parallel to x- axis is

    Solution

     

  • Question 5
    4 / -1

    Solution

     

  • Question 6
    4 / -1

    Solution

     

  • Question 7
    4 / -1

    sec−1[sec⁡(−30o)] =

    Solution

     

  • Question 8
    4 / -1

    Solution

     

  • Question 9
    4 / -1

    The mean of the series a,a + nd,a + 2nd is

    Solution

     

  • Question 10
    4 / -1

    The solution set of the inequality 37 − (3x + 5) ≥ 9x − 8(x − 3) is

    Solution

     

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