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A variable plane passes through a fixed ...

A variable plane passes through a fixed point (a,b,c) and meets the co-ordinate axes in A, B, C. Show that the locus of the point common to the planes through A, B, C parallel to the co-ordiante planes is `(a)/(x) + (b)/(y)+ (c)/(z) = 1`.

A

`a/x+b/y+c/z=1`

B

`ax+by+cz=1`

C

`a/x+b/y+c/z=-1`

D

ax+by+cz=-1

Text Solution

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The correct Answer is:
A
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