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JEE Main 2013 Mathematics question

MathematicsThree Dimensional GeometryJEE Main 2013

Let Q be the foot of perpendicular from the origin to the plane 4x − 3y + z + 13 = 0 and R be a point (−1, 1, −6) on the plane. Then length QR is :

Answer: (3)

Solution

R = (−1, 1, −6) satisfies −4 − 3 − 6 + 13 = 0. OQ is the distance from O to the plane: , so $ =

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Question ID VK-104073