The number of points on the line x + y = 4 which are unit distance apart from the line 2x + 2y = 5 is
(A) 0 (B) 1 (C) 2 (D) Infinity
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1 Answers
1x + y - 4 = 0 .......................(1)
2x + 2y - 5 = 0
→ x + y - 2.5 = 0........................(2)
both lines are parallel since they differ by constants
hence distance between two parallel lines is difference between their constants
i.e, here 4 - 2.5 = 1.5
so no points on x + y = 4 are unit distance apart from the line 2x + 2y = 5
hence(a)