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The determinant |a b aalpha+bb c balpha+...

The determinant `|a b aalpha+bb c balpha+c aalpha+bbalpha+c0|=0,` if `a ,b , c` are in A.P. `a ,b ,c` are in G.P. `a ,b ,c` are in H.P. `alpha` is a root of the equation `a x^2+b c+c=0` `(x-alpha)` is a factor of `a x^2+2b x+c`

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CENGAGE ENGLISH-DETERMINANTS-All Questions
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  19. Show that if x1, x2, x3!=0 |x1+a1b1a1b2a1b3a2b1x2+a2b2a2b3a3b1a3b2x3+...

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  20. Figure shows a wire ring of radius a that is perpendicular to the gene...

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