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Matrices and Determinants question

2025 · 24 Jan · Shift 2 · Q31

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JEE Main
Mathematics
Matrices and Determinants
2025 · 24 Jan · Shift 2 · Q31

Matrices and Determinants question

2025 · 24 Jan · Shift 2 · Q31

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

For some

a, b,

let

f(x)=\left|\begin{array}{ccc}\mathrm{a}+\frac{\sin x}{x} & 1 & \mathrm{~b} \\ \mathrm{a} & 1+\frac{\sin x}{x} & \mathrm{~b} \\ \mathrm{a} & 1 & \mathrm{~b}+\frac{\sin x}{x}\end{array}\right|, x eq 0, \lim \limits_{x \rightarrow 0} f(x)=\lambda+\mu \mathrm{a}+ u \mathrm{b}.

Then

(\lambda+\mu+v)^2

is equal to :

A
25
B
16
C
9
D
36

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