A point (a,b) is called a good point if both a and b are integers. Number of good points on the curve xy=225 are
20
16
18
14
A
20
B
14
C
18
D
16
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Solution
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The order pair (x,y) satisfying xy=225 are (1,225),(3,75)(5,45),(9,25),(15,15). Order can be changed in the first four pairs and both x and y can be negative also, so the no. of pairs =2(2×4+1)=18
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