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If |[b^2+c^2,a b,a c],[ a b, c^2+a^2,b c...

If `|[b^2+c^2,a b,a c],[ a b, c^2+a^2,b c],[c a, c b, a^2+b^2]|=k a^2b^2c^2,` then the value of `k` is `a b c` b. `a^2b^2c^2` c. `b c+c a+a b` d. none of these

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CENGAGE-DETERMINANTS-All Questions
  1. The parameter on which the value of the determinant |1a a^2"cos"(p-d)x...

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  2. If x=c y+b z ,y=a z+c x ,z=bx+a y ,w h e r ex ,y ,z are not all zero...

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  3. If |[b^2+c^2,a b,a c],[ a b, c^2+a^2,b c],[c a, c b, a^2+b^2]|=k a^2b^...

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  4. The value of |-1 2 1 3+2sqrt(2)2+2sqrt(2)1 3-2sqrt(2)2-2sqrt(2)1| is e...

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  5. Find the following system of equations is consistent, (a+1)^3x+(a+2...

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  6. Prove the identities: |[b^2+c^2,ab, ac],[ba,c^2+a^2,bc],[ca, cb ,a^2+...

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  7. Prove that [[1+a^2+a^4, 1+a b+a^2b^2 ,1+a c+a^2c^2],[ 1+a b+a^2b^2, 1+...

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  8. If x , y , z are in A.P. , then the value of the determinant are in A....

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  9. Prove that |((b+x)(c+x),(c+x)(a+x),(a+x)(b+x)),((b+y)(c+y),(c+y)(a+y),...

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  10. If a+b+c=0, one root of [[a-x, c, b],[c, b-x, a],[ b, a, c-x]]=0 is ...

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  11. Factorize the following |3a+b+c a^3+b^3+c^3a+b+c a^2+b^2+c^2a^4+b^4+ ...

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  12. Let {D1, D2, D3 ,Dn} be the set of third order determinant that can be...

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  13. If g(x)-(f(x))/((x-a)(x-b)(x-c)),w h e r ef(x) is a polynomial of d...

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  14. If the equation 2x+3y+1=0,3x+y-2=0,a n da x+2y-b=0 are consistent, ...

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  15. If w is a complex cube root of unity, then value of =|a1+b1w a1w^2+b1c...

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  16. Let f(x)=|cos(x+x^2)sin(x+x^2)- cos(x+x^2)...

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  17. Which of the following has/have value equal to zero? |8 2 7 12 3 5 16 ...

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  18. If f(x),g(x)a n dh(x) are three polynomials of degree 2, then prove th...

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  19. If a ,b ,c are in G.P. with common ratio r1a n dalpha,beta,gamma are...

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  20. Show that: |a b-cc+b a+c b c-a a-bb+a c|=(a+b+c)(a^2+b^2+c^2)dot

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