Q .     The range of values of `r`, for which the point

`(-5 + r/sqrt(2) , -3 +r/sqrt(2))` is an interior point of

the major segment of the circle `x^2 + y^2 = 16`
cut-off by the line `x + y = 2`, is

UPSEE 2013
A

`(-oo, 5 sqrt (2) )`

B

`(4 sqrt (2) - sqrt(14) , 5 sqrt (2))`

C

`(4 sqrt (2) - sqrt (14) , 4 sqrt(2) +sqrt (14))`

D

none of the above

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