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JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

There is a pair of points, one on each of the lines whose combined equation is . If they are such that the distance of the point on one line is 2 units from the other line then the points are

Answer: (A),(B)

Solution

Let and . They are perpendicular since . Use the signed distances

X==, Y==

as perpendicular coordinates. The point on has , and the point

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Question ID VK-108880