1.

If `x ,y ,z`are different from zero and `"Delta"=a b-y c-z a-x b c-z a-x b-y c=0,`then the value of the expression `a/x+b/y+c/z`is`0`b. `-1`c. `1`d. `2`

Answer» Correct Answer - D
Applying `R_(2) to R_(2)-R_(1),R_(3) to R_(3) -R_(1)` we get
`Delta = |{:(a,,b-y,,c-z),(-x,,y,,0),(-x,,0,,z:}|=0`
Expanding along `C_(3) ` we get
`" or " (c-z)(xy)+z(ay+bx-xy)=0`
`" or " cxy -xyz +ayz +bxz -xyz =0`
`" or " ayz +bzx + cxz =2xyz`
`" or " (a)/(x)+(b)/(y)+(c )/(z)=2`


Discussion

No Comment Found