JEE Main 2016 Mathematics question
Two sides of a rhombus are along the lines, and . If its diagonals intersect at , then which one of the following is a vertex of this rhombus?
Answer: (1)
Solution
The two given lines are adjacent sides, so they meet at a vertex: solving and gives , so , , and that vertex is . The diagonals of a rhombus bisect each other at the centre , so the opposite vertex is . The other two vertices
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