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If the points (x,y),(a,0) and (0,b) are collinear, prove that `x/a + y/b = 1, ab ne 0`

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PRADEEP PUBLICATION-DETERMINANTS-EXERCISE
  1. Find k so that the points (3,-2), (k,2), (8,8) are collinear.

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  2. Find k if the points (2,-3), (k , 1) and (0,4) are collinear.

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  3. If the points (x,y),(a,0) and (0,b) are collinear, prove that x/a + y/...

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  4. Prove that the points (a ,\ 0),\ (0,\ b) and (1,\ 1) are collinear...

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  5. If the points (x1,y1), (x2,y2) and (x1 + x2, y1+y2) are collinear, pro...

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  6. Find p if the points (p+1,1), (2p + 1,3) and (2p + 2, 2p) are collinea...

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  7. For what value of k the points (k,2-2k),(-k+1,2k)and (-4-k,6-2k) are c...

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  8. Show that the points (a+5, a-4), (a-2, a +3) and (a,a) do not lie on a...

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  9. If the vertices of an equilateral triangle are A(x1,y1), B(x2,y2) and ...

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  10. Find the adjoint of each of the following matrices: [(1,0),(0,1)]

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  11. Find the adjoint of the following matrices: {:[(a,b),(c,d)]

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  12. Find the adjoint of each of the following matrices: [(cos theta, sin t...

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  13. Find the adjoint of each of the following matrices: [(1, tan(theta//2)...

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  14. Find the adjoint of the following matrices: [(3,4),(5,7)]

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  15. Find the adjoint of each of the following matrices: [(2,3),(5,1)] veri...

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  16. Find the adjoint of the following matrices: [(1,2,3),(2,3,2),(3,3,4)]

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  17. Find the adjoint of the following matrices: [(1,-1,2),(3,1,-2),(1,0,3)...

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  18. Find the adjoint of the following matrices: [(6,-7,8),(1,-3,1),(2,1,-4...

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  19. Find the adjoint of the following matrices: [(1,-1,2),(3,0,-2),(1,0,3)...

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  20. Find the adjoint of the following matrices: A = [(1,-1,1),(2,3,0),(18,...

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