Equation of line passing through origin and making 30^\circ ...

CBSE Class 12 Math 2023 All Sets Solved Paper

Question : 7 of 20

Marks: +1, -0

Equation of line passing through origin and making

30^∘ , 60^∘

and

90^∘

with x, y, z axes respectively is:

Solution:

Direction cosines is given by

(\cos α, \cos β, \cos γ) ≡ (\cos 30^{∘}, \cos 60^{∘}, \cos 90^{∘}) ≡ (\;{{√{3}}}/{2}, \;{1}/{2}, 0)

Equation of the line is:

\;{x-0}/{{√{3}}} \/ 2=\;{y-0}/{1 \/ 2}=\;{z-0}/{0}

⇒ \;{2 x}/{{√{3}}}=\;{2 y}/{1}=\;{z}/{0}

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