In R 3 , consider the planes P 1 : y = 0 and P 2 : x + z = 1. Let P 3 be a plane…
Mathematics · JEE Advanced · NTA Exams — Three Dimensional Geometry
In R3, consider the planes P1 : y = 0 and P2 : x + z = 1. Let P3 be a plane, different from P1 and P2, which passes through the intersection of P1 and P2. If the distance of the point (0, 1, 0) from P3 is 1 and the distance of a point (α, β, γ) from P3 is 2, then which of the following relations is (are) true?
- 2α + β + 2γ + 2 = 0
- 2α – β + 2γ + 4 = 0
- 2α + β – 2γ – 10 = 0
- 2α – β + 2γ – 8 = 0
Answer
(D) 2 α – β + 2 γ – 8 = 0
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