Checkout JEE MAINS 2022 Question Paper Analysis : Checkout JEE MAINS 2022 Question Paper Analysis :

If a, b, c be +ve and unequal, then

1) > 1

2) < 1

3) > 6

4) < 6

Solution: (3) > 6

Since AM > GM

[(a / b) + (b / a)] / 2 > √(a / b) (b / a) = 1

(a / b) + (b / a) > 2

Similarly (b / c) + (c / b) > 2

On adding, (a / b) + (b / a) + (b / c) + (c / b) + (c / a) + (a / c) > 6

[(b / a) + (c / a)] + [(c / b) + (a / b)] + [(a / c) + (b / c)] > 6

[b + c] / a + [c + a] / b + [a + b] / c > 6

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