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Let f(r) be the number of integral point...

Let `f(r)` be the number of integral points inside a circle of radius r and centre at origin (integral point is a point both of whose coordinates are integers), then `lim_(r->oo) (f(r))/(pir^2)` is equal to

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Knowledge Check

  • For r gt 0, f(r ) is the ratio of perimeter to area of a circle of radius r. Then f(1) + f(2) is equal to

    A
    1
    B
    2
    C
    3
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    4

  • For r gt 0, f(r) is the ratio of perimeter to area of a circle of radius r. Then f(1)+f(2) is equal to

    A
    1
    B
    2
    C
    3
    D
    4

  • Let A be the set of all points in a plane and let O be the origin Let R={(p,q):OP=OQ}. then ,R is

    A
    Reflexive and symmetric but transitive
    B
    Reflexive and transitive but not symmetric
    C
    symmetric and transitive but not reflexive
    D
    An equivalence relation

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    The number of integral points inside the triangle made by the line 3x+4y-12=0 with the coordinate axes which are equidistant from at least two sides is/are (an integral point is a point both of whose coordinates are integers.) (d) 4(c)3(a)1 (b) 2

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    The number of integral point inside the triangle made by the line 3x + 4y - 12 =0 with the coordinate axes which are equidistant from at least two sides is/are : ( an integral point is a point both of whose coordinates are integers. )

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