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JEE Main Mathematics question

MathematicsStraight LinesJEE Main

The point undergoes the following three transformations successively: (i) Reflection about the line , (ii) Translation through a distance of unit along the positive direction of -axis, (iii) Rotation through an angle of about the origin in the anti-clockwise direction. The final position of the point is

Answer: (B)

Solution

Reflection in takes to ; translating units along gives . Rotating by anticlockwise gives

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Question ID VK-013319