If in a triangle $$ABC$$, $${{2\cos A} \over a} + {{\cos B} \over b} + {{2\cos C} \over c} = {a \over {bc}} + {b \over {ca}},$$ then the value of the angle $$A$$ is .................... degrees.
Answer
$${90^ \circ }$$
2
IIT-JEE 1988
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If the angles of a triangle are $${30^ \circ }$$ and $${45^ \circ }$$ and the included side is $$\left( {\sqrt 3 + 1} \right)$$ cms, then the area of the triangle is ...............
Answer
$${{\sqrt 3 + 1} \over 2}$$ sq. unit
3
IIT-JEE 1987
Fill in the Blanks
A polygon of nine sides, each of length $$2$$, is inscribed in a circle. The radius of the circle is .................