Using determinants show that the following points are collinear: (i) (3, -2),  (8, 8) and (5, 2)     (ii) (2, 3),  (-1, -2) and (5, 8)

Explanation

We have to show that points are collinear

(i) `(3, -2),  (8, 8) and (5, 2)`

Now take `(x_1, y_1),(x_2, y_2) and (x_3,y_3)`

Then the condition of collinearity is given as:

`x_1(y_2-y_3)+x_2(y_3-y_1)+x_3(y_1-y_2)=0`

Hence,

`=3(8-2)+8(2+2)+5(-2-8)`

`=3(6)+8(4)+5(-10)`

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