Question

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

Answer 1

Answer:

In order to show that the points (3,0), (-2, -2) and (8, 2) are collinear, it suffices to show that the line passing through point (3,0) and (-2, -2) also passes through point (8, 2).

The equation of the line passing through points (3,0), (-2, -2) is

(y−0)=

(−2−3)

(−2−0)

(x−3)

y=

−5

−2

(x−3)

5y=2x−6

i.e. 2x−5y=6

It is observed that at x = 8 and y = 2,

L.H.S. = 2×8−5×2=16−10=6 = R.H.S.

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

Hence, points (3,0), (-2, -2) and (8, 2) are collinear.

Answer 2

Answer:

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