Class 11

Math

Algebra

Sequences and series

Minimum value of $λ$ for which the equation $9a_{2x}−(λ+2)a_{x}+4=0$ . $a>1$ has atleast one real solution is:

- $4$
- $6$
- $8$
- $10$

**Correct Answer: ** Option(d)

**Solution: **Given equation $⇒9a_{x}+a_{x}4 =λ+2$

By AM $≥$ GM, we have LHS $≥12$

$∴$ For real solution $λ+2≥12⇒λ≥10$