1
IIT-JEE 1985
Subjective
+5
-0
In a triangle $$ABC$$, the median to the side $$BC$$ is of length $${1 \over {\sqrt {11 - 6\sqrt 3 } }}$$\$ and it divides the angle $$A$$ into angles $${30^ \circ }$$ and $${45^ \circ }$$. Find the length of the side $$BC$$.
2
IIT-JEE 1984
Subjective
+4
-0
For a triangle $$ABC$$ it is given that $$\cos A + \cos B + \cos C = {3 \over 2}$$. Prove that the triangle is equilateral.
3
IIT-JEE 1984
Subjective
+4
-0
With usual notation, if in a triangle $$ABC$$;
$${{b + c} \over {11}} = {{c + a} \over {12}} = {{a + b} \over {13}}$$ then prove that $${{\cos A} \over 7} = {{\cos B} \over {19}} = {{\cos C} \over {25}}$$.
4
IIT-JEE 1983
Subjective
+3
-0
The ex-radii $${r_1},{r_2},{r_3}$$ of $$\Delta$$$$ABC$$ are H.P. Show that its sides $$a, b, c$$ are in A.P.
Physics
Mechanics
Electricity
Optics
Modern Physics
Chemistry
Physical Chemistry
Inorganic Chemistry
Organic Chemistry
Mathematics
Algebra
Trigonometry
Coordinate Geometry
Calculus
EXAM MAP
Joint Entrance Examination