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Let the algebraic sum of the perpendicular distances from the points (2, 0), (0, 2) and (1, 1) onto a variable line be zero. Then, the line passes through a fixed point whose coordinates are

(a)  (1,1)

(b)  (-1,-1)

(c) (2/3,1/3)

(d)  (1/3,2/3)

1 Answer

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Best answer

 Correct option  (a)  (1,1)

Explanation :

Algebraic distance of a point (x1, y1) from a line ax + by + c = 0 is

 Suppose the variable line is ax + by + c = 0. Therefore, by hypothesis.

Hence, the line ax + by + c = 0 passes through the point 

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