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1

IIT-JEE 1994

Fill in the Blanks
In a triangle $$ABC$$, $$AD$$ is the altitude from $$A$$. Given $$b>c$$, $$\angle C = {23^ \circ }$$ and $$AD = {{abc} \over {{b^2} - {c^2}}}$$ then $$\angle B = $$.................

Answer

$${113^ \circ }$$
2

IIT-JEE 1993

Fill in the Blanks
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

$${90^ \circ }$$
3

IIT-JEE 1988

Fill in the Blanks
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
4

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 .................

Answer

$$\cos ec\,{\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 9$}}$$

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