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What is the equation of the plane which cuts an intercept 5 units on the z-axis and is parallel to xy-plane?

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  1. x + y = 5
  2. z = 5
  3. z = 0
  4. x + y + z = 5

Answer (Detailed Solution Below)

Option 2 : z = 5
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Detailed Solution

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Concept:

Plane parallel to xy- plane so, x-intercept = y-intercept = 0

 

Calculation:

Here, z-intercept = 5, and parallel to xy-plane

∴Equation of plane: z = 5

Hence, option (2) is correct.

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