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Equation of the plane passing through A(-2, 2, 2), B(2, -2, -2) and perpendicular to x + 2y - 3z = 7 is ______ -

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Question

Equation of the plane passing through A(-2, 2, 2), B(2, -2, -2) and perpendicular to x + 2y - 3z = 7 is ______ 

Options

  • 5x + 2y + 3z = 0

  • 5x - 2y + 3z + 8 = 0

  • 5x - 2y + 3z - 7 = 0

  • 5x - 2y - 3z = 0

MCQ
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Solution

Equation of the plane passing through A(-2, 2, 2), B(2, -2, -2) and perpendicular to x + 2y - 3z = 7 is 5x + 2y + 3z = 0

Explanation:

The plane passes through A(-2, 2, 2) and B(2,-2, -2)

The above points satisfy the equation of a plane in option 5x + 2y + 3z = 0.

∴ option (5x + 2y + 3z = 0) is the correct answer.

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