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If A1,B1,C1, are respectively, the cofa...

If `A_1,B_1,C_1, ` are respectively, the cofactors of the elements `a_1, b_1,c_1, ` of the determinant `"Delta"=|[a_1b_1c_1][a_2b_2c_2][a_3b_3c_3]|,"Delta"!=0` , then the value of `|[B_2C_2][B_3C_3]|` is equal to a. `a1^2Δ` b. `a_1Δ` c.`a_1^2Δ` d. `a1 2^2Δ`

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CENGAGE PUBLICATION-DETERMINANTS-All Questions
  1. By using properties of determinants. Show that: (i) |(x+4,2x,2x),(2x,...

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  2. Using properties of determinants, evaluate |[18, 40 ,89],[ 40 ,89, 198...

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  3. If A1,B1,C1, are respectively, the cofactors of the elements a1, b1,c...

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  4. Solve for x |x-2 2x-3 3x-4 x-4 2x-9 3x-16 x-8 2x-27 3x-64|...

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  5. If Delta1=|[x, b, b],[ a, x, b],[ a, a, x]| a n d Delta2=|[x, b],[ a, ...

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  6. Without expanding evaluate the determinant |[sinalpha,cosalpha,sin(alp...

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  7. If y= sin px and y(n) is the nth derivative of y, then |{:(y,y(1),y(...

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  8. Find the value of the determinant |[1, 1, 1, 1],[ 1, 2, 3, 4],[ 1, 3, ...

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  9. The parameter on which the value of the determinant |1 a...

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  10. If x=c y+b z ,y=a z+c x ,z=bx+a y ,w h e r e .x ,y ,z are not all ze...

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  11. 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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  12. The value of |[-1, 2, 1],[ 3+2sqrt(2), 2+2sqrt(2), 1],[ 3...

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

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

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  15. If |[1 1 1];[a b c];[ a^3b^3c^3]|=(a-b)(b-c)(c-a)(a+b+c),w h e r ea ,b...

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  16. 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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  17. The determinant |[y^2,-x y, x^2],[a, b, c],[ a ', b ', c ']| is equal ...

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  18. If x , y , z are in A.P. , then the value of the determinant |[a+2,...

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  19. Prove that |{:((b+x)(c+x),,(c+x)(a+x),,(a+x)(b+x)),((b+y)(c+y) ,,(c+y)...

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  20. 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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