JEE Advanced 2018 Mathematics question

MathematicsThree Dimensional GeometryJEE Advanced 2018

Let be a point in the first octant, whose image in the plane (that is, the line segment is perpendicular to the plane and the mid-point of lies in the plane ) lies on the -axis. Let the distance of from the -axis be 5. If is the image of in the -plane, then the length of is .

Answer: 8

Solution

For , the image in is . Q on the -axis

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Question ID VK-026801