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JEE Advanced Mathematics question

MathematicsStraight LinesJEE Advanced

The combined equation of the lines is and that of the lines is . If the angle between and be then the angle between and will be

Answer: (D)

Solution

The bisectors of the first pair are , i.e. . The bisectors of the second pair are , i.e. . Both pairs have the same bisectors. Let a common bisector have inclination . Then are at and

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Question ID VK-108859