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JEE MATHEMATICS MCQ: STRAIGHT LINES
1
Medium
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Analyzing
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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 .
Statement-1: If and are proportional, then . Statement-2: for all and .
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Correct option: A
Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation of Statement-1.
Option A (Statement-1 is true, Statement-2 is true; Statement-2 is a correct explanation of Statement-1) is correct because the angles are equal when the lines are parallel, and this parallelism is implied when the constants are proportional.
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