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JEE Main 2022 Mathematics question

MathematicsStraight LinesJEE Main 2022

If the two lines : (x − 2)/3 = (y + 1)/(−2), z = 2 and : (x − 1)/1 = ( + 5)/2 are perpendicular, then an angle between the lines and : (1 − x)/3 = (2y − 1)/(−4) = z/4 is :

Answer: (2)

Solution

has direction (3, −2, 0) and has direction (1, , 2). Perpendicular lines give , so has direction (1, 3/2, 2) and

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Question ID VK-025357