Let the system of equations be: 2x + 3y + 5z = 9, 7x + 3y - 2z =… | JEE Main 2025 Mathematics PYQ

MCQMediumJEE Main 2025 · 7 April, Shift 1Solving Linear Equations (Matrix Method)

Let the system of equations be: $2x + 3y + 5z = 9,$ $7x + 3y - 2z = 8,$ $12x + 3y - (4 + \lambda)z = 16 - \mu,$ which has infinitely many solutions. Then the radius of the circle centered at $(\lambda, \mu)$ and touching the line $4x = 3y$ is:

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

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