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If |b+cc+a a+b a+bb+cc+a c+a a+bb+c|=k|a...

If `|b+cc+a a+b a+bb+cc+a c+a a+bb+c|=k|a b cc a bb c a|` , then value of `k` is `1` b. `2` c. `3` d. `4`

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CENGAGE-DETERMINANTS-All Questions
  1. If a ,b ,c are different, then the value of |0x^2-a x^3-b x^2+a0x^2+c ...

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  2. Prove that the value of each the following determinants is zero: |...

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  3. If |b+cc+a a+b a+bb+cc+a c+a a+bb+c|=k|a b cc a bb c a| , then value o...

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  4. A triangle has vertices Ai(xi , yi)fori=1,2,3 If the orthocentre of tr...

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  5. If alpha,beta,gamma are the roots of a x^3+b x^2+c x+d=0a n d|alpha ...

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  6. If Delta=|(a1,b1,c1),(a2,b2,c2),(a3,b3,c3)| and Delta1=|(a1+pb1,b1+q...

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  7. Prove that the value of each the following determinants is zero: |...

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  8. The value of the determinant [(1^2, 2^2, 3^2, 4^2) ,(2^2, 3^2 ,4^2,5^2...

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  9. If f(x)=|1x x+1 2x x(x-1)(x+1) x3 x(x-1) x(x-1)(x-2) (x+1)x(x-1)| then...

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  10. Show that |(log x, log y, logz),(log 2x, log2y, log2z),(log3x, log3y,l...

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  11. If the system of equations x-k y-z=0, k x-y-z=0,x+y-z=0 has a nonzero ...

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  12. {:[( 1,1+p,1+p+q),( 2,3+2p,4+3p+2q),( 3,6+3p,10+6p+3q)]:}=1

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  13. If |(a,b,aalpha+b),(b,c,balpha+c),(aalpha+b,balpha+c,0)|=0, prove that...

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  14. By using properties of determinants , show that : {:[( 1+a^(2) -b^(2...

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  15. Which of the following values of alpha satisfy the equation |{:((...

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  16. solve {:[( 3a,-a+b,-a+c),( -b+a, 3b,-b+c) ,( -c+a,-c+b,3c) ]:} = 3( a+...

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  17. If the system of equations x+a y=0,a z+y=0,a n da x+z=0 has infinite s...

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  18. \begin{bmatrix}6i&-3i&1\\ 4 &3i& -1\\ ...

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  19. The value of |[yz, z x,x y],[ p,2q,3r],[1, 1, 1]|,w h e r ex ,y ,z are...

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  20. Prove that |((beta+gamma-alpha-delta)^4,(beta+gamma-alpha-delta)^2,1),...

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