যদি a = b² এবং b = a² হলে যেখানে a = b নয়, তাহলে কোনটি সত্য?
Solution
Correct Answer: Option C
a = b² ........... (i)
b = a² ........... (ii)
(i) - (ii) ⇒
a - b = b² - a²
⇒ a - b = -a² + b²
⇒ a - b = -(a² - b²)
⇒ (a - b) = -(a + b)(a - b)
⇒ 1 = -(a + b)
⇒ a + b + 1 = 0
সুতরাং, a + b + 1 = 0 সঠিক উত্তর।
b = a² ........... (ii)
(i) - (ii) ⇒
a - b = b² - a²
⇒ a - b = -a² + b²
⇒ a - b = -(a² - b²)
⇒ (a - b) = -(a + b)(a - b)
⇒ 1 = -(a + b)
⇒ a + b + 1 = 0
সুতরাং, a + b + 1 = 0 সঠিক উত্তর।
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