Q. 204.3( 84 Votes )

By using th

Answer :

If we have to show that the given three points (3, 0), (– 2, – 2) and (8, 2) are collinear, we have to show that the line passing through the points (3, 0) and (– 2, – 2) also passes through the point (8, 2).


We know that the equation of the line passing through the points (x1, y1) and (x2, y2) is given by




-5y = -2 (x 3)


-5y = -2x + 6


2x 5y = 6


If 2x – 5y = 6 passes through (8, 2),


LHS = 2x – 5y = 2(8) – 5(2) = 16 – 10 = 6 = RHS


The line passing through the points (3, 0) and (– 2, – 2) also passes through the point (8, 2).


Hence proved.


Ans. The given three points are collinear.


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