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a) Prove that : \( (c + a - b)\left( \cot\frac{C}{2} + \cot\frac{A}{2} \right) = 2b\cot\frac{B}{2} \) b) Find vertex, focus, and equation of…

Class 12 Mathematics · 2083 · Solved Question with Answer

a) Prove that :\( (c + a - b)\left( \cot\frac{C}{2} + \cot\frac{A}{2} \right) = 2b\cot\frac{B}{2} \)

b) Find vertex, focus, and equation of directrix of conic \( 9x^2 + 4y^2 = 36 \)

c) Find the angle between \( \vec{a} = \vec{i} + 2\vec{j} - \vec{k} and \vec{b} = \vec{i} - \vec{j} + \vec{k} \)

Solution

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