Question

6.
Verify whether the points (-2,3), (4,2) and (10,1) are collinear or not.
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Answer 1

Formula for collinear points-:

[x1(y2 - y3) + x2( y3 - y1)+ x3(y1 - y2)] = 0.

(x1, y1) = (-2,3)

(x2, y2) = (4,2)

(x3, y3) = (10,1)

= [ -2 (2 - 1) + 4 (1 - 3) + 10 (3 - 2) ] = 0

= [ -2 × 1 + 4 × (-2) + 10 × 1 ] = 0

= [ -2 -8 + 10 ] = 0

= [ -10 +10 ] = 0

= 0 = 0

So , these given points are said to be collinear.

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