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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

Given that the points $A (3, 2, - 4), B (5, 4, - 6)$ and $C (9, 8, - 10)$ are collinear, the ratio in which B divides $\overline{A C}$ is

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Answer:

Solution:

Let B divide AC in the ratio $m$ : $n$ . Then $(\frac{9 m + 3 n}{m + n}, \frac{8 m + 2 n}{m + n}, \frac{- 10 m - 4 n}{m + n}) = (5, 4, - 6)$ , giving $\frac{m}{n} = \frac{1}{2}$ .

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

⏱ 2mℹ️ Source: QB

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