If the direction cosines of a line are c 1 , c 1 , c 1 then

Given ℓ = m = n = c 1 We know that ℓ 2 + m 2 + n 2 = 1 ⇒ c 2 3 = 1 ⇒ c 2 = 3 ⇒ c = ± 3

Mathematics - 3D Coordinate Geometry Question with Solution | TestHub

Mathematics3D Coordinate GeometryCoordinates of a point in space, Direction cosines,Easy2 minPYQ_2020

MathematicsEasysingle choice

If the direction cosines of a line are $\frac{1}{c}, \frac{1}{c}, \frac{1}{c}$ then

Answer:

Solution:

Given $ℓ = m = n = \frac{1}{c}$ We know that $ℓ^{2} + m^{2} + n^{2} = 1 \Rightarrow \frac{3}{c ^{2}} = 1 \Rightarrow c^{2} = 3 \Rightarrow c = \pm 3$

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

⏱ 2mℹ️ Source: PYQ_2020

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