Question

show that the points( 0, - 2), (- 1, 1 ) (- 2, 4 ) are collinear

Answer 1

Answer:

very easy only one formula . use the area of triangle=0.

Answer 2

Concept Introduction:

For three points to be collinear slope of two points has to be same with one point in common. That is $\frac{y2-y1}{x2-x1} =\frac{y3-y2}{x3-x2}$.

Given: Three points $( 0, - 2), (- 1, 1 ) (- 2, 4 )$.

To Find:

We have to find the value of, given points are collinear.

Solution:

According to the problem,

$\frac{y2-y1}{x2-x1} =\frac{y3-y2}{x3-x2}$

⇒$\frac{1+2}{-1-0} =\frac{4-1}{-2+1}$

⇒$-3=-3$

∵ LHS=RHS

∴The given points are collinear.

Final Answer:

The value of the three given points are collinear.

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