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If a, b, c are distinct positive real nu...

If `a, b, c` are distinct positive real numbers such that the quadratic expression `Q_(1)(x) = ax^(2) + bx + c`,
`Q_(2)(x) = bx^(2) + cx + a, Q_(3)(x) = cx^(2) + ax + b` are always non-negative, then possible integer in the range of the expression `y = (a^(2)+ b^(2) + c^(2))/(ab + bc + ca)` is

A

1

B

2

C

3

D

4

Text Solution

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The correct Answer is:
B, C
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VIKAS GUPTA (BLACK BOOK) ENGLISH-SEQUENCE AND SERIES -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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