सूची-I (प्रश्न) का सूची-II (उत्तर) से मिलान कीजिए।

List I

i.यदि x + 1/x = 2 तो (x - 1/x) = ?

ii.यदि x - y = 1 और x^2 + y^2 = 41 तो x + y = ?

iii.यदि (1 - 1/x) = 2 तो 1 + 1/x^2 = ?

iv.यदि (x - 1/x) = 3 तो x^2 + 1/x^2 = ?

List II

a.11

b.2

c.0

d.धन या ऋण 9

Ai-a, ii-c, iii-d, iv-b

Bi-a, ii-b, iii-c, iv-d

Ci-b, ii-c, iii-a, iv-d

Di-c, ii-d, iii-b, iv-a ✓ Correct

Correct answer: (D) i-c, ii-d, iii-b, iv-a

Explanation

सुमेलन i-c, ii-d, iii-b, iv-a है।

x + 1/x = 2 से x = 1, तो x - 1/x = 0.

(x+y)^2 = 2(x^2+y^2) - (x-y)^2 = 82 - 1 = 81, तो x+y = धन या ऋण 9.

1 - 1/x = 2 से x = -1, तो 1 + 1/x^2 = 2.

x^2 + 1/x^2 = (x - 1/x)^2 + 2 = 9 + 2 = 11.

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