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JEE Main 2016 Mathematics question

MathematicsStraight LinesJEE Main 2016

The point is translated parallel to the line by units. If the new point lies in the third quadrant, then the equation of the line passing through and perpendicular to is

Answer: (4)

Solution

The line has direction vector , whose unit form is . Translating by units along this direction shifts each coordinate by

2Missing argument for \sqrt\sqrt3ยท = Missing argument for \sqrt\sqrt6.

The two possible images are and

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Question ID VK-115563