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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) + x + 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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VK JAISWAL-SEQUENCE AND SERIES -EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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  3. If a,b,c are in H.P, where a gt c gt 0, then :

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  4. In an A.P. let T(r) denote r ^(th) term from beginning, T(p) - (1)/(q ...

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  5. Which of the following statement (s) is (are) correct ?

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  9. Given a,b,c are in A.P. b,c,d are in G.P. and c,d,e are in H.P. if a =...

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  11. If (x ^(2) +x+1) + (x^(2) + 2x +3) + (x^(2) + 3x +5) + ….. + (x ^(2) +...

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  12. For Delta ABC, if 81 + 144 a ^(4) + 16b ^(4) + 9c ^(4) =144 abc, (whe...

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  13. Let x,y,z in (0, (pi)/(2)) are first three consecutive terms of an ari...

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  14. If the number 16, 20, 16, d form a A.G.P. then d can be equal to :

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  19. For Delta ABC, if 81 + 144 a ^(4) + 16b ^(4) + 9c ^(4) =144 abc, (whe...

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