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1

### IIT-JEE 2002 Screening

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
$$a,\,\sin \,A,R$$
2

### IIT-JEE 2001 Screening

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
$$200\sqrt 3$$
3

### IIT-JEE 2000 Screening

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
4

### IIT-JEE 2000 Screening

In a triangle $$ABC$$, let $$\angle C = {\pi \over 2}$$. If $$r$$ is the inradius and $$R$$ is the circumradius of the triangle, then $$2(r+R)$$ is equal to
A
$$a+b$$
B
$$b+c$$
C
$$c+a$$
D
$$a+b+c$$

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