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What is the equation of the plane passing through the points (–2, 6, –6), (–3, 10, –9) and (–5, 0, –6)?

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What is the equation of the plane passing through the points (–2, 6, –6), (–3, 10, –9) and (–5, 0, –6)? 

a. 2x – y – 2z = 2 

b. 2x + y + 3z = 3 

c. x + y + z = 6 

d. x – y – z = 3

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1 Answer

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Best answer

Correct option a. 2x – y – 2z = 2

Explanation:

Equation of plane is

⇒ (z + 6) (18) + 3[–6(x + 2) + 3 (y – 6)] = 0

⇒18z + 108 + 3(–6x – 12 + 3y – 18) = 0

⇒ 2x – y – 2z = 2

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