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The equation of the line x+y+z-1=0, 4x+y...

The equation of the line `x+y+z-1=0`, `4x+y-2z+2=0` written in the symmetrical form is

A

`(x+1)/(1)=(y-2)/(-2)= (z-0)/(1)`

B

`(x)/(1)= (y)/(-2)= (z-1)/(1)`

C

`(x+1//2)/(1)= (y-1)/(-2)= (z-1//2)/(1)`

D

`(x-1)/(2)= (y+2)/(-1)= (z-2)/(2)`

Text Solution

AI Generated Solution

To find the symmetrical form of the line represented by the equations of the planes \(x + y + z - 1 = 0\) and \(4x + y - 2z + 2 = 0\), we can follow these steps: ### Step 1: Understand the equations of the planes The given equations represent two planes in three-dimensional space. The intersection of these two planes will give us a line. ### Step 2: Assume a parameter To express the line in a symmetrical form, we can assume one of the variables as a parameter. Let's assume \(z = \lambda\). ...
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