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If the system of linear equations, 8x + y + 4z = −2 x + y + z = 0 λx − 3y = μ has infinitely many solutions, then the distance of the point (λ, μ, −1/2) from the plane 8x + y + 4z + 2 = 0 is

1. 3√5
2. 4
3. 26/9
4. 10/3

Correct answer: 10/3

Solution

The correct option is right because the distance from a point to a plane can be calculated using the formula that incorporates the coefficients of the plane equation and the coordinates of the point. In this case, substituting the values of λ and μ into the distance formula yields the result of 10/3.

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