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Matrices and Determinants question

2025 · 7 Apr · Shift 1 · Q36

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JEE Main
Mathematics
Matrices and Determinants
2025 · 7 Apr · Shift 1 · Q36

Matrices and Determinants question

2025 · 7 Apr · Shift 1 · Q36

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

Let the system of equations :

\begin{aligned} & 2 x+3 y+5 z=9 \\ & 7 x+3 y-2 z=8 \\ & 12 x+3 y-(4+\lambda) z=16-\mu \end{aligned}

have infinitely many solutions. Then the radius of the circle centred at

(\lambda, \mu)

and touching the line

4 x=3 y

is :

A
$\frac{7}{5}$
B
$\frac{21}{5}$
C
7
D
$\frac{17}{5}$

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