যদি (x−y)2 = 12 এবং xy = 1 হয়, তবে x2 + y2 = কত?

A 13

B 14

C 11

D 12

Solution

Correct Answer: Option B

  (x-y)2=12
          বা , x2-2xy+y2=12
        বা, x2+y2-2 × 1=12   [ xy=1]
 অতএব, x2+y2=12+2=14

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