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A variable plane moves so that the sum o...

A variable plane moves so that the sum of the reciprocals of its intercepts on the coordinate axes is `(1//2)`. Then, the plane passes through the point

A

`(1/2,1/2,-1/2)`

B

`(-1,1,1)`

C

`(2,2,2)`

D

`(0,0,0)`

Text Solution

Verified by Experts

The correct Answer is:
C
Given that
`1/a+1/b+1/c=1/2`……………….i
and equation of plane is
`x/a+y/b+z/c=1`……………ii
From eqs i and ii we get
`x=2,y=2,z=2`
`:.` Required point is `(x,h,z)=(2,2,2)`
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