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1

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
$$2:3$$
2

IIT-JEE 2002 Screening

MCQ (Single Correct Answer)
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
$$a,\,\sin \,A,R$$
3

IIT-JEE 2001 Screening

MCQ (Single Correct Answer)
A man from the top of a $$100$$ metres high tower sees a car moving towards the tower at an angle of depression of $${30^ \circ }$$. After some time,the angle of depression becomes $${60^ \circ }$$. The distance (in metres) travelled by the car during this time is
A
$$100\sqrt 3 $$
B
$$200\sqrt 3 /3$$
C
$$100\sqrt 3 /3$$
D
$$200\sqrt 3 $$
4

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)
A pole stands vertically inside a triangular park $$\Delta ABC$$. If the angle of elevation of the top of the pole from each corner of the park is same, then in $$\Delta ABC$$ the foot of the pole is at the
A
centroid
B
circumcentre
C
incentre
D
orthocentre

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