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

Mathematics3D-Coordinate GeometryCoordinates of a point in space, Direction cosines,Medium2 minPYQ_2021

MathematicsMediumsingle choice

A line makes angles of $4 5^{\circ}$ and $6 0^{\circ}$ with the positive axes of $X$ and $Y$ respectively. The angle made by the same line with the positive axis of $Z$ , is

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Solution:

Given $α = 4 5^{\circ}, β = 6 0^{\circ}, γ = ?$ $∵ cos^{2} α + cos^{2} β + cos^{2} γ = 1 ∴ cos^{2} γ = 1 - \frac{1}{2} - \frac{1}{4} = \frac{1}{4} \Rightarrow y = 6 0^{\circ} or 12 0^{\circ}$

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

⏱ 2mℹ️ Source: PYQ_2021

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