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Let 2 a + 2 b + c = 0 , l 1 and l 2 are straight lines of the family a x + b y + c = 0 which are at 1 unit distance from the point 1 , 1 , then the area (in sq. units) bounded by l 1 , l 2 and coordinate axes is

Correct answer

4

Step-by-step solution

All the lines of the family of a x + b y + c = 0 pass from the point 2,2 . The line passing through 2,2 and at unit distance from 1,1 is x = 2 and y = 2 ⇒ Required Area = 2 × 2 = 4 sq. units

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