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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 ratio in which the plane $2 x - 1 = 0$ divides the line joining (-2,4,7) and (3,-5,8) is

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Answer:

Solution:

Let the ratio be $k : 1$ . The dividing point is $(\frac{3 k - 2}{k + 1}, \frac{- 5 k + 4}{k + 1}, \frac{8 k + 7}{k + 1})$ . It lies on $2 x - 1 = 0$ , so $\frac{3 k - 2}{k + 1} = \frac{1}{2}$ , giving $k = 1$ . The ratio is 1:1.

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

⏱ 2mℹ️ Source: QB

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