1
IIT-JEE 2005
MCQ (Single Correct Answer)
+2
-0.5
In an equilateral triangle, $$3$$ coins of radii $$1$$ unit each are kept so that they touch each other and also the sides of the triangle. Area of the triangle is IIT-JEE 2005 Mathematics - Properties of Triangle Question 9 English
A
$$4 + 2\sqrt 3 $$
B
$$6 + 4\sqrt 3 $$
C
$$12 + {{7\sqrt 3 } \over 4}$$
D
$$3 + {{7\sqrt 3 } \over 4}$$
2
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+2
-0.5
The sides of a triangle are in the ratio $$1:\sqrt 3 :2$$, then the angles of the triangle are in the ratio
A
$$1:3:5$$
B
$$2:3:4$$
C
$$3:2:1$$
D
$$1:2:3$$
3
IIT-JEE 2003 Screening
MCQ (Single Correct Answer)
+2
-0.5
If the angles of a triangle are in the ratio $$4:1:1$$, then the ratio of the longest side to the perimeter is
A
$$\sqrt 3 :\left( {2 + \sqrt 3 } \right)$$
B
$$1:6$$
C
$$1:2 + \sqrt 3 $$
D
$$2:3$$
4
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
Which of the following pieces of data does NOT uniquely determine an acute-angled triangle $$ABC$$ ($$R$$ being the radius of the circumcircle)?
A
$$a,\,\sin \,A,sin\,B$$
B
$$a,b,c$$
C
$$a,\,\sin \,B,R$$
D
$$a,\,\sin \,A,R$$
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