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The direction cosines of the lines bisec...

The direction cosines of the lines bisecting the angle between the line whose direction cosines are `l_1, m_1, n_1 and l_2, m_2, n_2` and the angle between these lines is `theta`, are

A

`(l_1+l_2)/(2sin((theta)/(2))), (m_1+m_2)/(2sin((theta)/(2))), (n_1+n_2)/(2sin((theta)/(2)))`

B

`(l_1+l_2)/(2cos((theta)/(2))), (m_1+m_2)/(2cos((theta)/(2))), (n_1+n_2)/(2cos((theta)/(2)))`

C

`(l_1-l_2)/(2sin((theta)/(2))), (m_1-m_2)/(2sin((theta)/(2))), (n_1-n_2)/(2sin((theta)/(2)))`

D

`(l_1-l_2)/(2cos((theta)/(2))), (m_1-m_2)/(2cos((theta)/(2))), (n_1-n_2)/(2cos((theta)/(2)))`

Text Solution

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The correct Answer is:
(b)
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ARIHANT MATHS-THREE DIMENSIONAL COORDINATE SYSTEM-Exercise (Single Option Correct Type Questions)
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  15. The equation of the line passing through (1, 1, 1) and perpendicular t...

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  16. The equation of the plane through the intersection of the planes x+y+z...

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