1

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
$$200\sqrt 3 $$
2

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
3

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)
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
$$a+b+c$$
4

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)
In a triangle $$ABC$$, $$2ac\,\sin {1 \over 2}\left( {A - B + C} \right) = $$
A
$${a^2} + {b^2} - {c^2}$$
B
$${c^2} + {a^2} - {b^2}$$
C
$${b^2} - {c^2} - {a^2}$$
D
$${c^2} - {a^2} - {b^2}$$

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