1
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If $$f\left( x \right) = {x^n},$$ then the value of

$$f\left( 1 \right) - {{f'\left( 1 \right)} \over {1!}} + {{f''\left( 1 \right)} \over {2!}} - {{f'''\left( 1 \right)} \over {3!}} + ..........{{{{\left( { - 1} \right)}^n}{f^n}\left( 1 \right)} \over {n!}}$$ is

A
$$1$$
B
$${{2^n}}$$
C
$${{2^n} - 1}$$
D
$$0$$
2
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Let $$f\left( x \right)$$ be a polynomial function of second degree. If $$f\left( 1 \right) = f\left( { - 1} \right)$$ and $$a,b,c$$ are in $$A.P, $$ then $$f'\left( a \right),f'\left( b \right),f'\left( c \right)$$ are in
A
Arithmetic -Geometric Progression
B
$$A.P$$
C
$$G.P$$
D
$$H.P$$
3
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
If $$z$$ and $$\omega $$ are two non-zero complex numbers such that $$\left| {z\omega } \right| = 1$$ and $$Arg(z) - Arg(\omega ) = {\pi \over 2},$$ then $$\,\overline {z\,} \omega $$ is equal to
A
$$- i$$
B
1
C
- 1
D
$$i$$
4
AIEEE 2003
MCQ (Single Correct Answer)
+4
-1
Which of the following atoms has the lowest ionization potential ?
A
$${}_7^{14}N$$
B
$${}_{55}^{133}\,Cs$$
C
$${}_{18}^{40}\,Ar$$
D
$${}_8^{16}\,O$$
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