Q.
The number of integral solutions of x2−y2=352706 is
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a
276
b
0
c
720
d
infinite
answer is B.
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Detailed Solution
As 352706 is even, either both x and y are even or both x and y are odd.If x ,y are both even, x2−y2 is divisble by 4, but 352706 is not divisible by 4.If x ,y are both odd, x2−y2 is divisble by 4, but 352706 is not divisible by 4.
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