যদি a+b= 2 এবং ab = 1 হয় , তবে a ও b এর মান কত?

A ০, 2

B 1, 1

C -1, 3

D -3, -4

Solution

Correct Answer: Option B

আমরা জানি, (a-b)2= (a+b)2-4ab
=22-4.1 = 4-4 
⇒(a-b)= 0
∴a-b=0..........(i)
আবার, a+b =2................(ii)
(i)+(ii) ⇒ 2a=2 
⇒a = 1
(i)⇒1-b = 0
⇒b =1
a=1, b=1

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