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JEE Main Mathematics question

MathematicsStraight LinesJEE Main

If is the acute angle between the lines given by , then the equation of the line passing through the point of intersection of these lines and making angle with the positive -axis is

Answer: (B)

Solution

The equation factorises as (checked by expansion), giving the lines of slopes and , which meet at . The acute angle satisfies

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Question ID VK-024623