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Using the properties of determinants, pr...

Using the properties of determinants, prove the following
`|{:((x-2)^2,(x-1)^2,x^2),((x-1)^2,x^2,(x+1)^2),(x^2,(x+1)^2,(x+2)^2):}|=-8`

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The correct Answer is:
-8
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KUMAR PRAKASHAN-DETERMINANTS -Practice Work
  1. Prove that |{:(a+1,1,1),(1,b+1,1),(1,1,c+1):}|=abc(1/a+1/b+1/c+1)

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  2. Using the properties of determinants, prove the following |{:((b+c)^...

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  3. Using the properties of determinants, prove the following |{:((x-2)^...

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  4. Using the properties of determinants, prove the following It 2s=a+b+...

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  5. Using the properties of determinants, prove the following |{:(a^2,b^...

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  6. If p^(th),q^(th)and r^(th) tern of G.P are a,b and c respectively then...

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  7. If a,b,c are A.P then |{:(x+1,x+2,x+a),(x+2,x+3,x+b),(x+3,x+4,x+c):}...

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  8. Using the properties of determinants, prove the following |{:(a,b-c,...

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  9. Using the properties of determinants, prove the following |{:((a+b)^...

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  10. Find area of the triangle withh vertices at the point given in each of...

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  11. Find area of the triangle withh vertices at the point given in each of...

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  12. Find area of the triangle withh vertices at the point given in each of...

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  13. Find area of the triangle with vertices at the point given in each of ...

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  14. Find values of k if area of triangle is 4 sq. units and vertices are (...

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  15. Find values of k if the points (3,5), (k,3) and (1,1) are collinear

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  16. Find values of k if area of trianlge is 13 and vertices are (8,2), (k,...

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  17. Find the equation of line passing through the given points using deter...

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  18. Find the equation of line passing through the given points using deter...

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  19. Find the equation of line passing through the given points using deter...

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  20. Find the equation of line passing through the given points using deter...

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