For some a, b, let f(x) = | a + (sin x)/x 1 b a 1 + (sin x)/x b a… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 24 January, Shift 2Determinants Basics

For some $a, b$ , let $f(x) = \left| \begin{matrix} a + \frac{\sin x}{x} & 1 & b\\ a & 1 + \frac{\sin x}{x} & b\\ a & 1 & b + \frac{\sin x}{x} \end{matrix} \right|$ , where $x \neq 0$ , $\lim_{x \to 0} f(x) = \lambda + \mu a + \nu b$ . Then $(\lambda + \mu + \nu)^2$ is equal to:

A
$25$
B
$16$
C
$36$
D
$9$

Answer & step-by-step solution

Practice more Determinants Basics questions

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

Start free trial More on Determinants Basics

Answer & step-by-step solution

Practice more Determinants Basics questions

Related questions