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if A(3,4) and B is a variable point on the lines modx=6.If AB<=4 then what is the no. of position of B with integral co-ordinates?
Dear Sneha,
Ans:- Let the point b is (6,k) { B can not be (-6,k) then the inegulity (1) does not hold}
Then √(3²+(k-4)²<=4..................(1)
or 9+(k-4)²<=16
or 4- √7<=k <=4+ √7
Hence the integral soln are,
k= 2,3,4,5,6
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All the best Sneha!!!
Regards,
Askiitians Experts
SOUMYAJIT IIT_KHARAGPUR
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