Mathematics - 3D-Coordinate Geometry Question with Solution | TestHub

Mathematics3D-Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2023

MathematicsEasysingle choice

If the co-ordinates of the point in which the line joining the points $(3, 5, - 7)$ and $(- 2, 1, 8)$ is intersected by the plane $yz$ is $[a, \frac{13}{b}, c]$ , then $(a + b - c) =$

Options:

Answer:

Solution:

Ratio $= - (\frac{3}{- 2}) = \frac{3}{2}$
$∴$ Required co-ordinates of the points are
$[\frac{6 - 6}{5}, \frac{10 + 3}{5}, \frac{- 14 + 24}{5}] = (0, \frac{13}{5}, 2) . ∴ a + b - c = 0 + 5 - 2 = 3$

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

⏱ 2mℹ️ Source: PYQ_2023

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