Q. 34

# By using the concept of equation of a line, prove that the three points(3, 0), (-2, -2) and (8, 2) are collinear.

The given points are A(3, 0), B(-2, -2), C(8, 2).

First we find equation of AB which is

y – y1 =

or y – 0 =

or 5y – 2x – 6

Now let C(8, 2) lies on it.

Therefore 5 × 2 = 2 × 8 – 6

10 = 10 which is true.

Thus C lies on the equation of AB.

Hence A, B and C are collinear.

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