1
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Which one of the following constitutes a group of the isoelectronic species?
A
$$C_2^{2 - }$$, $$O_2^{-}$$, CO, NO
B
$$NO^{+}$$, $$C_2^{2 - }$$, CN-, $$N_2$$
C
CN-, $$N_2$$, $$O_2^{2-}$$, $$C_2^{2 - }$$
D
$$N_2$$, $$O_2^{-}$$, $$NO^{+}$$, CO
2
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
The mean of the numbers a, b, 8, 5, 10 is 6 and the variance is 6.80. Then which one of the following gives possible values of a and b?
A
a = 0, b = 7
B
a = 5, b = 2
C
a = 1, b = 6
D
a = 3, b = 4
3
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Let $$f\left( x \right) = \left\{ {\matrix{ {\left( {x - 1} \right)\sin {1 \over {x - 1}}} & {if\,x \ne 1} \cr 0 & {if\,x = 1} \cr } } \right.$$

Then which one of the following is true?
A
$$f$$ is neither differentiable at x = 0 nor at x = 1
B
$$f$$ is differentiable at x = 0 and at x = 1
C
$$f$$ is differentiable at x = 0 but not at x = 1
D
$$f$$ is differentiable at x = 1 but not at x = 0
4
AIEEE 2008
MCQ (Single Correct Answer)
+4
-1
Let $$f:N \to Y$$ be a function defined as f(x) = 4x + 3 where
Y = { y $$ \in $$ N, y = 4x + 3 for some x $$ \in $$ N }.
Show that f is invertible and its inverse is
A
$$g\left( y \right) = {{3y + 4} \over 4}$$
B
$$g\left( y \right) = 4 + {{y + 3} \over 4}$$
C
$$g\left( y \right) = {{y + 3} \over 4}$$
D
$$g\left( y \right) = {{y - 3} \over 4}$$
JEE Main Papers
2023
2021
EXAM MAP