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

Mathematics3D-Coordinate GeometryLine ( Equation etc.)Medium2 minQB

MathematicsMediuminteger

The foot of the perpendicular from $(1, 2, 3)$ to the join of $(6, 7, 7), (9, 9, 5)$ is $(3, 5, λ)$ then $λ =$

Answer:

Solution:

Any point of the line joing the given points can be taken as $(6 + 3 t, 7 + 2 t, 7 - 2 t)$ if it is the required foot of the ⟂ of $(1, 2, 3)$ we get $3 (5 + 3 t) + 2 (5 + 2 t) - 2 (4 - 2 t) = 0 \Rightarrow t = - 1$

Stream:JEESubject:MathematicsTopic:3D-Coordinate GeometrySubtopic:Line ( Equation etc.)

⏱ 2mℹ️ Source: QB

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