1
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
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
$$a+b+c$$
2
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
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 1998
MCQ (Single Correct Answer)
+2
-0.5
If in a triangle $$PQR$$, $$\sin P,\sin Q,\sin R$$ are in $$A.P.,$$ then
A
the altitudes are in $$A.P.$$
B
the altitudes are in $$H.P.$$
C
the medians are in $$G.P.$$
D
the medians are in $$A.P$$
4
IIT-JEE 1998
MCQ (Single Correct Answer)
+2
-0.5
Let $${A_0}{A_1}{A_2}{A_3}{A_4}{A_5}$$ be a regular hexagon inscribed in a circle of unit radius. Then the product of the lengths of the line segments $${A_0}{A_1},{A_0}{A_2}$$ and $${A_0}{A_4}$$ is
A
$${3 \over 4}$$
B
$$3\sqrt 3 $$
C
$$3$$
D
$${{3\sqrt 3 } \over 2}$$
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