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Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Medium2 minQB

MathematicsMediumsingle choice

The coordinates of the point equidistant from the points $(a, 0, 0), (0, a, 0), (0, 0, a)$ and (0,0,0) are

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Solution:

Let the point be $(x, y, z)$ . Then $x^{2} + y^{2} + z^{2} = (x - a)^{2} + y^{2} + z^{2} = x^{2} + (y - a)^{2} + z^{2} = x^{2} + y^{2} + (z - a)^{2}$ , so $x = y = z = \frac{a}{2}$ .

Stream:JEESubject:MathematicsTopic:3D Coordinate GeometrySubtopic:Coordinates of a point in space, Direction cosines,

⏱ 2mℹ️ Source: QB

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