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JEE Main Mathematics question

MathematicsStraight LinesJEE Main

The line is translated parallel to itself by units in the sense of increasing and then rotated by in the clockwise direction about the point where the shifted line cuts the -axis. The equation of the line in the new position is

Answer: (A)

Solution

The unit normal of is , so shifting the line by units in the sense of increasing gives , which meets the -axis at . If

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Question ID VK-024549