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If a ,b ,c are in G.P. with common rati...

If `a ,b ,c` are in G.P. with common ratio `r_1a n dalpha,beta,gamma` are in G.P. with common ratio `r_2` and equations `a x+alphay+z=0,b x+betay+z=0,c x+gammay+z=0` have only zero solution, then which of the following is not true? a.`a+b+c` b. `a b c` c.`1` d. none of these

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CENGAGE ENGLISH-DETERMINANTS-All Questions
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  2. If f(x),g(x)a n dh(x) are three polynomial of degree 2, then prove t...

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  4. Show that: |a, b-c,c+b, a+c, b, c-a,a-b,b+a, c|=(a+b+c)(a^2+b^2+c^2)d...

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  5. In triangle A B C , if |1, 1, ,1,cotA/2,cotB/2,cotC/2,tanB/2+tanC/2,ta...

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  11. If p q r!=0 and the system of equation (p+a)x+b y+c z=0, a x+(q+b)y+c...

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  14. If a, b and c are real numbers, and Delta=|[b+c,c+a,a+b],[c+a,a+b,b+c]...

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  15. If a , b , c are non-zero, then the system of equations (alpha+a)x+alp...

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  16. Prove that |a ,b+c, a^2,b, c+a, b^2,c, a+b, c^2|=-(a+b+c)xx(a-b)(b-c)...

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  17. If a >0 and discriminant of a x^2+2b x+c is negative, then |[a,b,ax+b]...

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  20. Using properties of determinants, prove the following |(a^2,ab,ac),(ab...

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