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The point ( [P + 1] , [P] ) (where [.] d...

The point `( [P + 1] , [P] )` (where [.] denotes the greatest integer function), lyinginside the region bounded by the circle `x^2 + y^2 - 2x - 15 = 0 and x^2 + y^2 - 2x - 7 =0,` then :

A

`P in [-1, 0)uu[0,1)uu[1,2)`

B

`P in [-1, 2)-{0, 1}`

C

`P in (-1,2)`

D

None of these

Text Solution

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The correct Answer is:
D
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The point ([P+1P]) (where [.] denotes the greatest integer function),lyinginside the region bounded by x^(2)+y^(2)-2x-15=0 and x^(2)+y^(2)-2x-7=0 then :

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Knowledge Check

  • The point ([P + 1], [P]) (where, [x] is the greatest integer function) lying inside the region bounded by the circle x^(2)+y^(2)-2x-15 =0 and x^(2)+ y^(2) 2x 7=0 , then

    A
    `P in [-1,2) - { 0,1}`
    B
    `P in [-1 ,0) cup ( 0,1 ) cup (1,2]`
    C
    `P in ( -1,2) `
    D
    none of these

  • int_0^2 x[2x]dx, where [.] denotes greatest integer function, equals : -

    A
    540
    B
    544
    C
    `17/4`
    D
    `33/44`

  • int_(0)^(2)x[2x]dx , where[.] denotes greatest integer function, equals:

    A
    `540`
    B
    `544`
    C
    `14/7`
    D
    `33/4`

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