Arithmetic Progression Quadratic Roots (Jee Mains) | ExamDuo
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Roots and Nature of Roots
Medium
Arithmetic Progression Quadratic Roots
Let the arithmetic mean of
and
be
, a > 2. If α is such that a, 4, α, b are in A.P., then the equation αx
2
– ax + 2(α – 2b) = 0 has :
SELECT ONE OPTION
A
One root in (1,4) and another in (–2,0)
B
One root in (0, 2) and another in (– 4, –2)
C
Complex roots of magnitude less than 2
D
Both roots in the interval (–2, 0)
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