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eliminating a, b, c from x=a/(b-c), y=b/...

eliminating a, b, c from `x=a/(b-c), y=b/(c-a) z=c/(a-b)` we get

A

`|{:(1,-x,x),(1,-y,y),(1,-z,z):}|=0`

B

`|{:(1,-x,x),(1,y,-y),(1,z,z):}|=0`

C

`|{:(1,-x,x),(y,1,-y),(-z,z,z):}|=0`

D

`|{:(1,-x,x),(y,1,-y),(z,z,z):}|=0`

Text Solution

AI Generated Solution

To eliminate \( a, b, c \) from the equations \( x = \frac{a}{b-c}, y = \frac{b}{c-a}, z = \frac{c}{a-b} \), we can follow these steps: ### Step 1: Rearranging the equations We start with the given equations: 1. \( x = \frac{a}{b-c} \) 2. \( y = \frac{b}{c-a} \) 3. \( z = \frac{c}{a-b} \) ...
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