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Show that points A(a,b+c),B(b,c+a) ਅਤੇ C...

Show that points `A(a,b+c),B(b,c+a) ਅਤੇ C(c,a+b)` are collinear.

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PSEB-DETERMINANTS-Exercise
  1. Find area of the triangle with vertices at the point given in the fol...

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  2. Find area of the triangle with vertices at the point given in the fol...

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  3. Show that points A(a,b+c),B(b,c+a) ਅਤੇ C(c,a+b) are collinear.

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  4. Find the value of k if the area of the triangle is 4 sq. units whose v...

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  5. If area of triangle is 4 sq. units with vertices (-2, 0), (0, 4) and (...

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  6. Find equation of line joining (1, 2) and (3, 6) using determinants.

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  7. Find equation of line joining (3, 1) and (9, 3) using determinants.

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  8. If area of triangle is 35 sq. units with vertices (2,-6), (5, 4) and (...

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  9. Write Minors and Cofactors of the elements of following determinant : ...

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  10. Write Minors and Cofactors of the elements of following determinant : ...

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  11. Write Minors and Cofactors of the elements of following determinant : ...

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  12. Write Minors and Cofactors of the elements of following determinant : ...

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  13. Using Cofactors of elements of second row, evaluate triangle = |[5,3,8...

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  14. Using Cofactors of elements of third column, evaluate triangle - |[1,x...

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  15. If triangle = |[a11,a12,a13],[a21,a22,a23],[a31,a32,a33]| and Aij is...

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  16. Find adjoint of the matrix: [[1,2],[3,4]

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  17. Find adjoint of the matrix: [[1,-1,2],[2,3,5],[-2,0,1]]

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  18. Verify A(adj A) = (adj A).A = |A|.I :[[2,3],[-4,-6]]

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  19. Verify A(adj A) = (adj A).A = |A|.I : [[1,-1,2],[3,0,-2],[1,0,3]]

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  20. Find the inverse of the matrix (if it exists): [[2,-2],[4,3]]

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