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1

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)
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 1999

MCQ (Single Correct Answer)
Let $${a_1},{a_2},......{a_{10}}$$ be in $$A,\,P,$$ and $${h_1},{h_2},......{h_{10}}$$ be in H.P. If $${a_1} = {h_1} = 2$$ and $${a_{10}} = {h_{10}} = 3,$$ then $${a_4}{h_7}$$ is
A
2
B
3
C
5
D
6
3

IIT-JEE 1999

MCQ (Single Correct Answer)
The harmonic mean of the roots of the equation $$\left( {5 + \sqrt 2 } \right){x^2} - \left( {4 + \sqrt 5 } \right)x + 8 + 2\sqrt 5 = 0$$ is
A
2
B
4
C
6
D
8
4

IIT-JEE 1998

MCQ (Single Correct Answer)
If $$x > 1,y > 1,z > 1$$ are in G.P., then $${1 \over {1 + In\,x}},{1 \over {1 + In\,y}},{1 \over {1 + In\,z}}$$ are in
A
A.P.
B
H.P.
C
G.P.
D
None of these

Joint Entrance Examination

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Class 12