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JEE Main 2013 Mathematics question

MathematicsStraight LinesJEE Main 2013

Let be the angle between two lines and and be the angle between two lines and , where are any real numbers : Statement-1: If and are proportional, then . Statement-2: for all and .

Answer: (1)

Solution

The angle between two lines depends only on their slopes, not their constant terms. Both pairs consist of a line of slope and a line of slope , so

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Question ID VK-104142