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If h, m1, n1 and l2, m2, n2 are D.C.s of...

If `h, m_1, n_1 and l_2, m_2, n_2 are D.C.s` of the two lines inclined to each other at an angle `theta`, then the D.C.'s of the internal and external bisectors of the angle between these lines are-

A

`(l_(1)+l_(2))/(2sin theta/2), (m_(1)+m_(2))/(2 sin theta/2), (n_(1)+n_(2))/(2 sin theta/2)`

B

`(l_(1)+l_(2))/(2 cos theta/2), (m_(1)+m_(2))/(2 cos theta/2), (n_(1) -n_(2))/(2 sin theta/2)`

C

`(l_(1)-l_(2))/(2sin theta/2) , (m_(1)-m_(2))/(2 sin theta/2), (n_(1)-n_(2))/(2 sin theta/2)`

D

`(l_(1)l_(2))/(2 cos theta/2), (m_(1)-m_(2))/(2 cos theta/2), (n_(1)-n_(2))/(2 cos theta/2)`

Text Solution

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The correct Answer is:
B
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