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Question

For f(x) = a x2 + bx + c, where a > 0 & a, b, c ϵ R. The condition for both roots α, β of f(x) = 0 to lie in between two real values x1 & x2 is


A

D 0, f(x1) > 0, f(x2) > 0

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B

x1 < (-b/2a) < x2

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C

x1 > (-b/2a), x2 > (-b/2a)

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D

Both a & b

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Solution

The correct option is D

Both a & b


For f(x) = a + bx + c, where a > 0 & a, b, c ϵ R. The conditions for both roots α, β of f(x) = 0 to lie in between two real values x1 & x2 is

D ≥ 0, f(x1) > 0, f(x2) > 0

x1 < (b)2a < x2


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