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1

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
2

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

$$\cos ec\,{\raise0.5ex\hbox{$\scriptstyle \pi $} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle 9$}}$$
3

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.

Answer

Arithmetic
4

IIT-JEE 1985

Fill in the Blanks
The set of all real numbers $$a$$ such that $${a^2} + 2a,2a + 3$$ and $${a^2} + 3a + 8$$ are the sides of a triangle is ...........

Answer

$$\left( {5,x} \right)$$

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