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1

### IIT-JEE 1998

Let $${T_r}$$ be the $${r^{th}}$$ term of an A.P., for $$r=1, 2, 3, ....$$ If for some positive integers $$m$$, $$n$$ we have
$${T_m} = {1 \over n}$$ and $${T_n} = {1 \over m},$$ then $${T_n} = {1 \over m},$$ equals
A
$${1 \over {mn}}$$
B
$${1 \over {mn}} + {1 \over n}$$
C
$$1$$
D
$$0$$
2

### IIT-JEE 1998

Let $$n$$ be an odd integer. If $$\sin n\theta = \sum\limits_{r = 0}^n {{b_r}{{\sin }^r}\theta ,}$$ for every value of $$\theta ,$$ then
A
$${b_0} = 1,\,b = 3$$
B
$${b_0} = 0,\,{b_1} = n$$
C
$${b_0} = - 1,\,{b_1} = n$$
D
$${b_0} = 0,\,{b_1} = {n^2} - 3n + 3$$
3

### IIT-JEE 1994

If $$In\left( {a + c} \right),In\left( {a - c} \right),In\left( {a - 2b + c} \right)$$ are in A.P., then
A
$$a,\,b,\,c$$ are in A.P.
B
$${a^2},\,{b^2},\,{c^2}$$ are in A.P.
C
$$a,\,b,\,c$$ are in G.P.
D
$$a,\,b,\,c$$ are in H.P.
4

### IIT-JEE 1990

The number $${\log _2}\,7$$ is
A
an integer
B
a rational number
C
an irrational number
D
a prime number

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