TMUA 2023 Paper 2 Question 14 P2 · Coordinate Geometry · Official · 2023 · Q14
cyclic-lines parallel-perpendicular gradients
Three lines are given by the equations: a x + b y + c = 0 , b x + cy + a = 0 , c x + a y + b = 0 , a b c Which one of the following is correct?
A If two of the lines are parallel, then all three are parallel.B If two of the lines are parallel, then the third is perpendicular to the other two.C If two of the lines are parallel, then the third is parallel to y = x D If two of the lines are parallel, then the third is perpendicular to y = x E If two of the lines are perpendicular, then all three meet at a point.F If two of the lines are perpendicular, then the third is parallel to y = x G If two of the lines are perpendicular, then the third is perpendicular to y = x
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