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If the points(a^3/(a-1),(a^2-3)/(a-1)), ...

If the points`(a^3/(a-1),(a^2-3)/(a-1))`, `(b^3/(b-1),(b^2-3)/(b-1))`, `(c^3/(c-1),(c^2-3)/(c-1))` are collinear for 3 distinct values `a,b,c` and `a!=1, b!=1, c!=1`, then find the value of `abc-(ab+bc+ca)+3(a+b+c)`.

A

`bc+ca+ab+abc=0`

B

`a+b+c=abc`

C

`bc+ca+ab=abc`

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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MCGROW HILL PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR COORDINATES AND STRAIGHT LINES -SOLVED EXAMPLES (LEVEL 2) SINGLE CORRECT ANSWER TYPE QUESTIONS
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