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The Cartesian co-ordinates (x, y) of a p...

The Cartesian co-ordinates (x, y) of a point on a curve are given by `x:y:a=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

`abc+3(a+b+c)=ab+bc+ca`

B

`3abc+2(a+b+c)=ab+bc+ca`

C

`abc+2(a+b+c)=3(ab+bc+ca)`

D

None of these

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The correct Answer is:
A
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