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JEE Main 2012 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2012

The values of a for which the two points (1, a, 1) and (−3, 0, a) lie on the opposite sides of the plane 3x + 4y − 12z + 13 = 0, satisfy

Answer: (3)

Solution

Opposite sides need the plane expression to take opposite signs:

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Question ID VK-103443