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The locus of a point P(x, y, z) which moves in such a way that z = 7 is a

This question was previously asked in
NDA 02/2021: Maths Previous Year paper (Held On 14 Nov 2021)
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  1. line parallel to x - axis
  2. line parallel to y - axis
  3. line parallel to z - axis
  4. plane parallel to xy - plane

Answer (Detailed Solution Below)

Option 4 : plane parallel to xy - plane
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Detailed Solution

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Concept:

F1 Sachin K 20-1-22 Savita D1

  • Equation of XY plane  is z = o
  • Equation of YZ plane  is x = o
  • Equation of XZ plane  is y = o

 

Explanation:

Given that,

z = 7

We know that

z = 0 represents the XY-plane.

∴ z  = 7 represents a plane parallel to XY-plane.

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More Equation of a Plane Questions

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More Three Dimensional Geometry Questions

Q1.What is the point of intersection of L and P? 
Q2.What are the direction ratios of the line?  
Q3.If 〈l, m, n〉 are direction cosines of S, then what is the value. of 43 (I2 - m2 - n2)?  
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