1
JEE Main 2022 (Online) 29th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The domain of the function $$f(x)=\sin ^{-1}\left(\frac{x^{2}-3 x+2}{x^{2}+2 x+7}\right)$$ is :

A
$$[1, \infty)$$
B
$$[-1,2]$$
C
$$[-1, \infty)$$
D
$$(-\infty, 2]$$
2
JEE Main 2022 (Online) 29th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Out of Syllabus
Change Language

The statement $$(p \Rightarrow q) \vee(p \Rightarrow r)$$ is NOT equivalent to

A
$$(p \wedge(\sim r)) \Rightarrow q$$
B
$$(\sim q) \Rightarrow((\sim r) \vee p)$$
C
$$p \Rightarrow(q \vee r)$$
D
$$(p \wedge(\sim q)) \Rightarrow r$$
3
JEE Main 2022 (Online) 29th July Evening Shift
Numerical
+4
-1
Out of Syllabus
Change Language

The sum and product of the mean and variance of a binomial distribution are 82.5 and 1350 respectively. Then the number of trials in the binomial distribution is ____________.

Your input ____
4
JEE Main 2022 (Online) 29th July Evening Shift
Numerical
+4
-1
Change Language

Let $$\alpha, \beta(\alpha>\beta)$$ be the roots of the quadratic equation $$x^{2}-x-4=0 .$$ If $$P_{n}=\alpha^{n}-\beta^{n}$$, $$n \in \mathrm{N}$$, then $$\frac{P_{15} P_{16}-P_{14} P_{16}-P_{15}^{2}+P_{14} P_{15}}{P_{13} P_{14}}$$ is equal to __________.

Your input ____
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