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JEE Main Mathematics question

MathematicsStraight LinesJEE Main

If the line represented by are rotated about the origin through an angle , one in clockwise direction and other in anti-clockwise direction, then the equation of the bisectors of the angle between the lines in the new position is

Answer: (A)

Solution

If the lines have inclinations , the rotated lines have and , whose mean is unchanged, so

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Question ID VK-024625