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JEE Main 2016 Mathematics question

MathematicsStraight LinesJEE Main 2016

Two sides of a rhombus are along the lines, x – y + 1 = 0 and 7x – y – 5 = 0. If its diagonals intersect at (–1, –2), then which one of the following is a vertex of this rhombus ?

Answer: (C)

Solution

The given sides meet at (1, 2), so the opposite vertex is (−3, −6). The other two sides pass through (−3, −6) parallel to the given

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Question ID VK-008925