If the points A(1,2), B(0,0) and C (a,b) are collinear, thenA. a= bB. a = 2bC. 2a = bD. a+b =0

If the points A(1,2), B(0,0) and C (a,b) are collinear, thenA. a= bB.

1.	If the points A(1,2), B(0,0) and C (a,b) are collinear, thenA. a= bB. a = 2bC. 2a = bD. a+b =0
Answer» Correct Answer - C Here, `(x_(1) = 1, y_(1) = 2), (x_(2) = 0, y_(2) = 0)"and" (x_(3) = a, y_(3) = b)`. Since the given points are collinear, we have `x_(1) (y_(2) - y_(3)) +x_(2)(y_(3) -y_(1)) + x_(3)(y_(1) -y_(2)) = 0` `rArr 1 * (0-b) +0* (b-2) +a * (2-0) = 0 rArr -b+0+2a =0 rArr 2a = b`.

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