If l_1,m_1,n_1 and l_2,m_2,n_2 are direction cosines of \overrightarrow{OA} and \overrightarrow{OB} such that ∠ AOB = θ , where O is the origin, then the direction cosines of the internal angular bisector of ∠ AOB are

Correct Answer is : l1+l22cosθ2 , m1+m22cosθ2 , n1+n22cosθ2

\frac{l_1+l_2}{2sin\theta/2} , \frac{m_1+m_2}{2sin\theta/2} , \frac{n_1+n_2}{2sin\theta/2}

\frac{l_1-l_2}{2cos\theta/2} , \frac{m_1-m_2}{2cos\theta/2} , \frac{n_1-n_2}{2cos\theta/2}

\frac{l_1-l_2}{2sin\theta/2} , \frac{m_1-m_2}{2sin\theta/2} , \frac{n_1-n_2}{2sin\theta/2}

\frac{l_1+l_2}{2cos\theta/2} , \frac{m_1+m_2}{2cos\theta/2} , \frac{n_1+n_2}{2cos\theta/2}

AP EAMCET Engineering 22 Apr 2019 Shift 1 Paper

Section: Mathematics

Question : 60 of 160

Marks: +1, -0

If l1,m1,n1 and l2,m2,n2 are direction cosines of

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and

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such that ∠ AOB = θ , where O is the origin, then the direction cosines of the internal angular bisector of ∠ AOB are

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