1

### 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.

$${90^ \circ }$$
2

### 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 ...............

$${{\sqrt 3 + 1} \over 2}$$ 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 .................

$$\cos ec\,{\raise0.5ex\hbox{\scriptstyle \pi } \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{\scriptstyle 9}}$$
4

### IIT-JEE 1985

Fill in the Blanks
In a triangle $$ABC$$, if cot $$A$$, cot $$B$$, cot $$C$$ are in A.P., then $${a^2},{b^2},{c^2}$$, are in ............... progression.

Arithmetic

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NEET

Class 12