Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2011

MathematicsEasysingle choice

A line making angles $4 5^{\circ}$ and $6 0^{\circ}$ with the positive directions of the axes of $x$ and $y$ makes with the positive direction of $z$ -axis, an angle of

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Solution:

Let $γ$ is the required angle, then $cos^{2} 4 5^{\circ} + cos^{2} 6 0^{\circ} + cos^{2} γ = 1 \Rightarrow \frac{1}{2} + \frac{1}{4} + cos^{2} γ = 1 \Rightarrow cos^{2} γ = 1 - \frac{3}{4} = \frac{1}{4} \Rightarrow cos γ = \frac{1}{2} \Rightarrow γ = 6 0^{\circ}$ $\Rightarrow cos γ = \frac{1}{2} \Rightarrow γ = 6 0^{\circ}$

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

⏱ 2mℹ️ Source: PYQ_2011

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