Mathematics · Progressions and Quadratic Equations
Let the arithmetic mean of 1a and 1b be 516, where a > 2. If α is such that a, 4, α, b are in Arithmetic Progression (A.P.), then the equation αx2 − ax + 2(α − 2b) = 0 has:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1Both roots in the interval (−2, 0)
- 2Complex roots of magnitude less than 2
- 3One root in (0, 2) and another in (−4, −2)
- 4One root in (1, 4) and another in (−2, 0)✓
Correct answer
One root in (1, 4) and another in (−2, 0)
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