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|((a+1)(a+2),a+2,1),((a+2)(a+3),a+3,1),(...

`|((a+1)(a+2),a+2,1),((a+2)(a+3),a+3,1),((a+3)(a+4), a+4,1)|=-2`

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The value of |((a+1)(a+2),a+2,1),((a+2)(a+3),a+3,1),((a+3)(a+4),a+4,1)| is

Using properties of determinants,prove that ([(a+1)(a+2),a+2,1(a+2)(a+3),a+3,1(a+3)(a+4),a+4,1]|=-2

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Locate the points: (1, 1), (1, 2), (1, 3), (1, 4) (2, 1), (2, 2), (2, 3), (2, 4) (1, 3), (2, 3), (3, 3), (4, 3) (1, 4), (2, 4), (3, 4), (4, 4)

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Let A = {1,2,3,4} and f : A to A satisfy f (1) =2, f(2)=3, f(3)=4, f (4)=1. Suppose g:A to A satisfies g (1) =3 and fog = gof , then g = (a).{(1,3), (2,1), (3,2), (4,4)} (b).{(1,3), (2,4),(3,1),(4,2)} (c).{(1,3),(2,2),(3,4),(4,3)} (d).{(1,3),(2,4),(3,2),(4,1)}

Let X = { 1,2,3,4 } and R = { (1,1), (1,2),(1,3),(2,2), (3,3),(2,1),(3,1),(1,4),(4,1)}. Then R is