JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

Two lines represented by the equation are rotated about the point , the line making the bigger angle with the positive direction of the -axis being turned by in the clockwise sense and the other line being turned by in the anticlockwise sense. The combined equation of the pair of lines in their new positions is

Answer: (B)

Solution

. The lines are (inclination , the bigger angle) and (inclination ), both through . *(Figure: the two lines through making with the -axis on either side; dotted

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Question ID VK-108871