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The direction cosines of a line bisectin...

The direction cosines of a line bisecting the angle between two perpendicular lines whose direction cosines are `l_1,m_1,n_1` and `l_2,m_2,n_2` are `(1)(l_1+l_2)/2,(m_1+m_2)/2,(n_1+n_2)/2` `(2)l_1+l_2,m_1+m_2,n_1+n_2` `(3)(l_1+l_2)/(sqrt(2)),(m_1-m_2)/2,(n_1+n_2)/(sqrt(2))` `(4)l_1-l_2,m_1-m_2,n_1-n_2` `(5)"n o n eo ft h e s e"`

A

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

D

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

Text Solution

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The correct Answer is:
(b, d)
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