Let the arithmetic mean of 1/a and... | Sequences Series

JEE MAIN 2026

28-01-2026 S2

Question

\text { Let the arithmetic mean of } \frac{1}{a} \text { and } \frac{1}{b} \text { be } \frac{5}{16}, a>2 \text {. If } \alpha \text { is such that } a, 4, \alpha, b \text { are in A.P., then the equation } \alpha x^2-a x+2(\alpha-2 b)=0 \text { has: }

Select the correct option:

complex roots of magnitude less than 2

one root in ( 0,2 ) and another in ( $-4,-2$ )

one root in (1.4) and another in ( $-2,0$ )

both roots in the interval $(-2,0)$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution