1
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
Consider an infinite geometric series with first term a and common ratio $$r$$. If its sum is 4 and the second term is 3/4, then
A
$$a = {4 \over 7},r = {3 \over 7}\,\,\,\,$$
B
$$a = 2,\,r = {3 \over 8}$$
C
$$a = {3 \over 2},r = {1 \over 2}$$
D
$$a = 3,\,r = {1 \over 4}$$
2
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+3
-0.75
Let $$PS$$ be the median of the triangle with vertices $$P(2, 2),$$ $$Q(6, -1)$$ and $$R(7, 3).$$ The equation of the line passing through $$(1, -1)$$ and parallel to $$PS$$ is
A
$$2x - 9y - 7 = 0$$
B
$$2x - 9y - 11 = 0$$
C
$$2x + 9y - 11 = 0$$
D
$$2x + 9y + 7 = 0$$
3
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+3
-0.75
The incentre of the triangle with vertices $$\left( {1,\,\sqrt 3 } \right),\left( {0,\,0} \right)$$ and $$\left( {2,\,0} \right)$$ is
A
$$\left( {1,\,{{\sqrt 3 } \over 2}} \right)$$
B
$$\left( {{2 \over 3},\,{1 \over {\sqrt 3 }}} \right)$$
C
$$\left( {{2 \over 3},\,{{\sqrt 3 } \over 2}} \right)$$
D
$$\left( {1,\,{1 \over {\sqrt 3 }}} \right)$$
4
IIT-JEE 2000 Screening
MCQ (Single Correct Answer)
+2
-0.5
The triangle PQR is inscribed in the circle $${x^2}\, + \,\,{y^2} = \,25$$. If Q and R have co-ordinates (3, 4) and ( - 4, 3) respectively, then $$\angle \,Q\,P\,R$$ is equal to
A
$${\pi \over 2}$$
B
$${\pi \over 3}$$
C
$${\pi \over 4}$$
D
$${\pi \over 6}$$
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