Let f: ℝ \ {0} → (-∞, 1) be a polynomial of degree 2, satisfying… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 28 January, Shift 2Nature of Roots & Formation of Equations

Let $f : \mathbb{R} \setminus \{0\} \to (-\infty, 1)$ be a polynomial of degree $2$ , satisfying $f(x)f\left( \frac{1}{x} \right) = f(x) + f\left( \frac{1}{x} \right)$ . If $f(K) = -2K$ , then the sum of squares of all possible values of $K$ is:

A
$1$
B
$7$
C
$9$
D
$6$

Answer & step-by-step solution

Practice more Nature of Roots & Formation of Equations questions

Get unlimited AI-adaptive practice, mastery tracking, and an AI tutor that explains every step - free to start.

Start free trial More on Nature of Roots & Formation of Equations

Answer & step-by-step solution

Practice more Nature of Roots & Formation of Equations questions

Related questions