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Matrices and Determinants question

2022 · 26 Jul · Shift 1 · Q27

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JEE Main
Mathematics
Matrices and Determinants
2022 · 26 Jul · Shift 1 · Q27

Matrices and Determinants question

2022 · 26 Jul · Shift 1 · Q27

JEE MainMathematicsMatrices and DeterminantsMCQ+4 / −1

If the system of linear equations.

8x + y + 4z = - 2x + y + z = 0\lambda x - 3y = \mu

has infinitely many solutions, then the distance of the point

\left( {\lambda ,\mu , - {1 \over 2}} \right)

from the plane

8x + y + 4z + 2 = 0

is :

A
$3\sqrt 5$
B
4
C
${{26} \over 9}$
D
${{10} \over 3}$

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