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

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

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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\*Rightarrow y-0=frac-2-0-2-3(x-3)\*Rightarrow 5y=2x-6\* i.e.;2x-5y=6\* It;is;observed;that;at;x=8;and;y=2,\*L.H.S.=2 imes8-5 imes2=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.

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Deependra Verma

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