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Question
The equation of the plane through (1, 2, -3) and (2, -2, 1) and parallel to the X-axis is ______
Options
y - z + 1 = 0
y - z - 1 = 0
y + z - 1 = 0
y + z + 1 = 0
MCQ
Fill in the Blanks
Solution
The equation of the plane through (1, 2, -3) and (2, -2, 1) and parallel to the X-axis is y + z + 1 = 0
Explanation:
The equation of the plane passing through (1, 2, -3) and (2, -2, 1) and parallel to the X-axis is
`|(x - 1, y - 2, z + 3), (2 - 1, -2 - 2, 1 + 3), (1, 0, 0)| = 0`
⇒ (y- 2)(4) + (z + 3)(4) = 0
⇒ y + z + 1 = 0
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