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Prove that the relation " friendship " i...

Prove that the relation " friendship " is not an equivalence relation on the set of all people in Chennai.

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` = tan theta + sec theta = (1+sin theta )/(cos theta ) `
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Knowledge Check

  • Which of the following is not an equivalence relation on z?

    A
    aRb `hArr a+b` is an even integer
    B
    aRb <=> a-b is an even integer
    C
    `aRb hArr a lt b`
    D
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    Show that each of the relation R in set A = { x in Z : 0 le x le 12}, given by (i) R = {(a,b) : |a-b| is a multiple of 4} (ii) R = {(a,b) : a=b} is an equivalence relation. Find the set of all elements related to 1 in each case.

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