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Problem 23

The cartesian co-ordinates \((x, y)\) of a point on a curve are given by $$ x: y: 1=t^{3}: t^{2}-3: t-1 $$ where \(t\) is a parameter, then the points given by \(t=a, b, c\) are collinear, if (a) \(a b c+3(a+b+c)=a b+b c+c a\) (b) \(3 a b c+2(a+b+c)=a b+b c+c a\) (c) \(a b c+2(a+b+c)=3(a b+b c+c a)\) (d) none of these

Expert verified

(c) \(abc+2(a+b+c)=3(ab+bc+ca)\) is the right equation.

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Chapter 1

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Chapter 1

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