1
AIEEE 2003
+4
-1
In a triangle $$ABC$$, medians $$AD$$ and $$BE$$ are drawn. If $$AD=4$$,
$$\angle DAB = {\pi \over 6}$$ and $$\angle ABE = {\pi \over 3}$$, then the area of the $$\angle \Delta ABC$$ is
A
$${{64} \over 3}$$
B
$${8 \over 3}$$
C
$${{16} \over 3}$$
D
$${{32} \over {3\sqrt 3 }}$$
2
AIEEE 2003
+4
-1
If in a $$\Delta ABC$$ $$a\,{\cos ^2}\left( {{C \over 2}} \right) + c\,{\cos ^2}\left( {{A \over 2}} \right) = {{3b} \over 2},$$ then the sides $$a, b$$ and $$c$$
A
satisfy $$a+b=c$$
B
are in A.P
C
are in G.P
D
are in H.P
3
AIEEE 2002
+4
-1
The sides of a triangle are $$3x + 4y,$$ $$4x + 3y$$ and $$5x + 5y$$ where $$x$$, $$y>0$$ then the triangle is
A
right angled
B
obtuse angled
C
equilateral
D
none of these
4
AIEEE 2002
+4
-1
In a triangle with sides $$a, b, c,$$ $${r_1} > {r_2} > {r_3}$$ (which are the ex-radii) then
A
$$a>b>c$$
B
$$a < b < c$$
C
$$a > b$$ and $$b < c$$
D
$$a < b$$ and $$b > c$$
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