1

IIT-JEE 1996

Fill in the Blanks
In a triangle $$ABC$$, $$a:b:c=4:5:6$$. The ratio of the radius of the circumcircle to that of the incircle is ............

Answer

$$16:7$$
2

IIT-JEE 1994

Fill in the Blanks
A circle is inscribed in an equilateral triangle of side $$a$$. The area of any square inscribed in this circle is ..............

Answer

$${{{a^2}} \over 6}$$ sq. unit
3

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

$${113^ \circ }$$
4

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

$${90^ \circ }$$

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