Given:
(a + b)2 = a2 + b2
Formula used:
(a + b)2 = a2 + b2 + 2ab
Solution:
(a + b)2 = a2 + b2 + 2ab
Given that, (a + b)2 = a2 + b2
Substitute (a + b)2 = a2 + b2, in (a + b)2 = a2 + b2 + 2ab we get,
=> a2 + b2 = a2 + b2 + 2ab
=> 2ab = 0
=> a = 0 or b = 0
∴ (0, b) or (a, 0)
Here the value of a and b can be infinite. Thus it may be true for an infinite number of (a, b).
Hence, option (b) is the correct answer.
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