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A variable plane passes through a fixed point (a, b, c) and meets the coordinate axes in A, B, C. Locus of the point common to the planes through A, B, C and parallel to coordinate plane, is
  • a)
  • b)
  • c)
    ax + by + cz = 1
  • d)
    None of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
A variable plane passes through a fixed point(a, b, c) and meets the c...
Let equation of plane is 
x/α + y/β + z/γ = 1.............(1)
Plane passes through point (a,b,c)
a/α + b/β + c/γ = 1................(2)
Again plane meets the coordinate points. 
Coordinates of points are (α,0,0)  
Coordinates of point B are (0, β, 0) and 
coordinates of point C are (0, 0, γ)  
∴ Equation of planes, parallel to coordinate axis and passing through  
Point A is x = α …..(3)  
Point B is y = β …..(4)  
Point C is z = γ …..(5)  
∴ Locus of the point of intersection is 
a/x + b/y + c/z = 1
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Community Answer
A variable plane passes through a fixed point(a, b, c) and meets the c...
Option a is correct
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A variable plane passes through a fixed point(a, b, c) and meets the coordinate axes in A, B, C.Locus of the point common to the planes throughA, B, C and parallel to coordinate plane, isa)b)c)ax + by + cz = 1d)None of theseCorrect answer is option 'A'. Can you explain this answer?
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