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If f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h ...

If `f(x)=|0x-a x-b x+a0x-c x+b x+c0|,t h e n` `f(x)=0` (b) `f(b)=0` (c) `f(0)=0` `f(1)=0`

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`f(x)=[[0,x-a, x-b],[ x+a,0,x-c],[ x+b ,x+c,0]]`
`f(a)=[[0,0, a-b],[ 2a,0,a-c],[ a+b ,a+c,0]]`
`=(a-b)(2a(a+c))`
`f(b)=[[0,b-a, 0],[ b+a,0,b-c],[ 2b,b+c,0]]`
...
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RD SHARMA-DETERMINANTS-Solved Examples And Exercises
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  12. If x , y , z are different from zero and [[1+x,1, 1],[ 1 ,1+y,1 ],[1 ,...

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  15. The maximum value of =[[1, 1, 1],[ 1, 1+sintheta,1],[ 1,1,1+costheta]...

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