1
JEE Main 2022 (Online) 26th July Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

The area bounded by the curves $$y=\left|x^{2}-1\right|$$ and $$y=1$$ is

A
$$\frac{2}{3}(\sqrt{2}+1)$$
B
$$\frac{4}{3}(\sqrt{2}-1)$$
C
$$2(\sqrt{2}-1)$$
D
$$\frac{8}{3}(\sqrt{2}-1)$$
2
JEE Main 2022 (Online) 26th July Evening Shift
Numerical
+4
-1
Change Language

Let $$A=\{1,2,3,4,5,6,7\}$$ and $$B=\{3,6,7,9\}$$. Then the number of elements in the set $$\{C \subseteq A: C \cap B \neq \phi\}$$ is ___________.

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3
JEE Main 2022 (Online) 26th July Evening Shift
Numerical
+4
-1
Out of Syllabus
Change Language

The largest value of $$a$$, for which the perpendicular distance of the plane containing the lines $$ \vec{r}=(\hat{i}+\hat{j})+\lambda(\hat{i}+a \hat{j}-\hat{k})$$ and $$\vec{r}=(\hat{i}+\hat{j})+\mu(-\hat{i}+\hat{j}-a \hat{k})$$ from the point $$(2,1,4)$$ is $$\sqrt{3}$$, is _________.

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4
JEE Main 2022 (Online) 26th July Evening Shift
Numerical
+4
-1
Change Language

Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the digits $$1,2,3,4,5$$ and 6 without repetition of digits. Then the total number of such numbers is ____________.

Your input ____
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