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The equation of the line which passes through the intersection of the lines x + 2y + 3 = 0 and 3x + 4y + 7 = 0 and is perpendicular the line x – y = 8 is(A) x + 2y + 3 = 0(B) x + y - 2 = 0(C) x + y + 2 = 0(D) 3x + 3y - 4 = 0 |
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Answer» Correct option (C) x + y + 2 = 0 Explanation : Direct Method: Intersection of the lines x + 2y + 3 = 0 and 3x + 4y + 7 = 0 is ( 1, 1). Slope of the line x – y + 8 = 0 is 1. Hence, the equation of the required line is y + 1 = -1(x + 1) or x + y + 2 = 0 |
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