Q.

A lattice point in a plane is a point for which both coordinates are integers. The number of lattice points inside the triangle whose sides are x=0,y=0 and 9x+223y=2007 is

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a

198

b

173

c

99

d

888

answer is D.

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Detailed Solution

On the line y = 1, the number of lattice  points is 2007−2239=198 Total no of  points  =∑y=182007−223y9=888
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A lattice point in a plane is a point for which both coordinates are integers. The number of lattice points inside the triangle whose sides are x=0,y=0 and 9x+223y=2007 is