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

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):}|=0`

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KUMAR PRAKASHAN-DETERMINANTS -Practice Work
  1. Using the properties of determinants, prove the following |{:(a^2,b^...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. Write minors and cofactors of the elements of following determinant ...

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  18. Write minors and cofactors of the elements of following determinant ...

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  19. Write minors and cofactors of the elements of following determinant ...

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  20. Verify: The value of the determinant remains unchanged if its rows and...

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