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prove that |{:((a-x)^(2),,(a-y)^(2),,(a-...

prove that `|{:((a-x)^(2),,(a-y)^(2),,(a-z)^(2)),((b-x)^(2),,(b-y)^(2),,(b-z)^(2)),((c-x)^(2),,(c-y)^(2),,(c-z)^(2)):}|`
`|{:((1+ax)^(2),,(1+bx)^(2),,(1+cx)^(2)),((1+ay)^(2),,(1+by)^(2),,(1+cy)^(2)),((1+az)^(2),,(1+bx)^(2),,(1+cz)^(2)):}|`
`=2 (b-c)(c-a)(a-b)xx (y-z) (z-x)(x-y)`

A

`Delta_(1) = Delta_(2)`

B

`Delta_(1) + Delta_(2)= 0`

C

`Delta_(1) = -2 Delta_(2)`

D

`Delta_(1) = - 2 Delta_(2)`

Text Solution

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The correct Answer is:
A
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DISHA PUBLICATION-DETERMINANTS-EXERCISE -2 CONCEPT APPLICATOR
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  2. If omega is a non-real cube root of unity, then Delta = |(a(1) + b(1) ...

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  13. f'(x) = |{:(cos x , x , 1),(2sin x,x^(2),2x),(tan x, x,1):}| . The val...

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