Area.

Calculus Level 5

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

(-1,2) None of these. [-1,0)U[0,1)U[1,2) [-1,2)-{0,1}

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1 solution

For the point to lies strictly in the area b/w the circles [P+1] can have value {-2,4} and [P] can have value {-3,3}.
So P can have values (-3,-2)U(3,4). Please correct me if I am wrong

I got the result that no such P exists.

Ankit Kumar Jain - 2 years, 10 months ago

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