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If a and b are positive integers, a > b and (a + b)2 - (a - b)2 > 29
If a and b are positive integers, a > b and (a + b)2 - (a - b)2 > 29
Then the smallest value of a is -
Answer & Solution
Correct Answer:
Option
B
Since (a + b)2 - (a - b)2 = 4ab,
So, the given expression should be a multiple of 4
So, the least value of 4ab is 32 and so the least value of ab is 8
Hence, the smallest value of a is 4 and that of b is 2
Hence, a = 4
So, the least value of 4ab is 32 and so the least value of ab is 8
Hence, the smallest value of a is 4 and that of b is 2
Hence, a = 4
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