1

### IIT-JEE 2005

MCQ (Single Correct Answer)
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
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 2005 Screening

MCQ (Single Correct Answer)
In a triangle $$ABC$$, $$a,b,c$$ are the lengths of its sides and $$A,B,C$$ are the angles of triangle $$ABC$$. The correct relation is given by
A
$$\left( {b - c} \right)\sin \left( {{{B - C} \over 2}} \right) = a\cos {A \over 2}$$
B
$$\left( {b - c} \right)cos\left( {{A \over 2}} \right) = a\,sin{{B - C} \over 2}$$
C
$$\left( {b + c} \right)\sin \left( {{{B + C} \over 2}} \right) = a\cos {A \over 2}$$
D
$$\left( {b - c} \right)cos\left( {{A \over 2}} \right) = 2a\,sin{{B + C} \over 2}$$
3

### IIT-JEE 2004 Screening

MCQ (Single Correct Answer)
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
$$1:2:3$$
4

### IIT-JEE 2003 Screening

MCQ (Single Correct Answer)
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
$$2:3$$

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NEET

Class 12