Question

. If the points (x, 1), (1, 2) and (0, y + 1) are collinear,
show that 1/x + 1/y =1​

Answer 1

Answer:

proved. just equate slopes of two segments.

Step-by-step explanation:

Given that points A(x,1), B(1,2 ) and C(0, y+1) are collinear.

Hence, the slope of AB and slope of BC are equal.

so  (2-1)/(1-x) = (y+1-2)/(0-1)

      (y-1)(1-x) = -1

      (x-1)(y-1) = 1

      xy - x - y + 1 = 1

      x y = x + y,    divide by x y.

      1 = 1/x + 1/y

Proved.

Answer 2

Step-by-step explanation:

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