Given below are two statements. STATEMENT - 1: The direction cosines of one of the…
Mathematics · JEE Main · NTA Exams — Three Dimensional Geometry
STATEMENT - 1: The direction cosines of one of the angular bisectors of two intersecting lines having direction cosines as \(\left.\right|_{1}, m_{1}, n_{1}\) and \(z_{2}, m_{2}, n_{2}\) are proportional to \(l_{1}+l_{2}, m_{1}+m_{2}, n_{1}+n_{2}\).
STATEMENT - 2: The angle between the two intersecting lines having direction cosines as \(\left.\right|_{1}, m_{1}, n_{1}\) and \(z_{2}, m_{2}, n_{2}\) is given by \(\cos \theta=l_{1} l_{2}+m_{1} m_{2}+n_{1} n_{2}\).
In the light of the above statements, choose the correct answer from the options given below:
- Both the statements are true and Statement - 2 is the correct explanation for Statement - 1
- Both the statements are true but Statement - 2 is not the correct explanation for statement - 1
- Statement - 1 is true and Statement - 2 is false
- Statement - 1 is false and Statement - 2 is true
Answer
(B) Both the statements are true but Statement - 2 is not the correct explanation for statement - 1
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