1
IIT-JEE 2004 Screening
MCQ (Single Correct Answer)
+2
-0.5
An infinite G.P. has first term '$$x$$' and sum '$$5$$', then $$x$$ belongs to
A
$$x < - 10$$
B
$$ - 10 < x < 0$$
C
$$0 < x < 10$$
D
$$x > 10$$
2
IIT-JEE 2002 Screening
MCQ (Single Correct Answer)
+2
-0.5
Suppose $$a, b, c$$ are in A.P. and $${a^2},{b^2},{c^2}$$ are in G.P. If $$a < b < c$$ and $$a + b + c = {3 \over 2},$$ then the value of $$a$$ is
A
$${1 \over {2\sqrt 2 }}$$
B
$${1 \over {2\sqrt 3 }}$$
C
$${1 \over 2} - {1 \over {\sqrt 3 }}$$
D
$${1 \over 2} - {1 \over {\sqrt 2 }}$$
3
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
Let $$\alpha $$, $$\beta $$ be the roots of $${x^2} - x + p = 0$$ and $$\gamma ,\delta $$ be the roots of $${x^2} - 4x + q = 0.$$ If $$\alpha ,\beta ,\gamma ,\delta $$ are in G.P., then the integral values of $$p$$ and $$q$$ respectively, are
A
$$-2,-32$$
B
$$-2,3$$
C
$$-6,3$$
D
$$-6,-32$$
4
IIT-JEE 2001 Screening
MCQ (Single Correct Answer)
+2
-0.5
If the sum of the first $$2n$$ terms of the A.P.$$2,5,8,......,$$ is equal to the sum of the first $$n$$ terms of the A.P.$$57,59,61,.....,$$ then $$n$$ equals
A
10
B
12
C
11
D
13
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