Question

In a G.P., if the product of the first three terms is \(27\) and the set of all possible values for the sum of its first three terms is \( \mathbb{R} - (a,b) \), then \( a^2+b^2 \) is equal to:

Hint:

For expressions of the form \( r+\frac{1}{r} \), always use the inequality \( r+\frac{1}{r}\ge 2 \) or \( \le -2 \) to determine the range.

Answer 1

Correct Answer: 90