1
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

If a, b are odd integers, then the roots of the equation $$2a{x^2} + (2a + b)x + b = 0$$, $$a \ne 0$$ are

A
rational
B
irrational
C
non-real
D
equal
2
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

There are n white and n black balls marked 1, 2, 3, ...... n. The number of ways in which we can arrange these balls in a row so that neighbouring balls are of different colours is

A
(n!)2
B
(2n)!
C
2(n!)2
D
$${{(2n)!} \over {{{(n!)}^2}}}$$
3
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

Let $$f(n) = {2^{n + 1}}$$, $$g(n) = 1 + (n + 1){2^n}$$ for all $$n \in N$$. Then

A
$$f(n) > g(n)$$
B
$$f(n) < g(n)$$
C
f(n) and g(n) are not comparable.
D
$$f(n) > g(n)$$ if n be even and $$f(n) < g(n)$$ if n be odd.
4
WB JEE 2022
MCQ (Single Correct Answer)
+1
-0.25
Change Language

A is a set containing n elements. P and Q are two subsets of A. Then the number of ways of choosing P and Q so that P $$\cap$$ Q = $$\varphi $$ is

A
$${2^{2n\_2n}}{C_n}$$
B
$${2^n}$$
C
$${3^n} - 1$$
D
$${3^n}$$
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