Sets – JEE Main Previous Year Question with Solutions
JEE Main Previous Year Question of Math with Solutions are available at eSaral. Practicing JEE Main Previous Year Papers Questions of mathematics will help the JEE aspirants in realizing the question pattern as well as help in analyzing weak & strong areas. eSaral helps the students in clearing and understanding each topic in a better way. eSaral is providing complete chapter-wise notes of Class 11th and 12th both for all subjects. Besides this, eSaral also offers NCERT Solutions, Previous year questions for JEE Main and Advance, Practice questions, Test Series for JEE Main, JEE Advanced and NEET, Important questions of Physics, Chemistry, Math, and Biology and many more. Download eSaral app for free study material and video tutorials.
Q. If $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ are three sets such that $\mathrm{A} \cap \mathrm{B}=\mathrm{A} \cap \mathrm{C}$ and $\mathrm{A} \cup \mathrm{B}=\mathrm{A} \cup \mathrm{C},$ then :- (1) B = C $(2) \mathrm{A} \cap \mathrm{B}=\phi$ (3) A = B (4) A = C [AIEEE- 2009]

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Sol. (1) $\mathrm{n}(\mathrm{A})=3, \mathrm{n}(\mathrm{B})=6, \mathrm{n}(\mathrm{A} \cap \mathrm{B})=3(\text { maximum })$ so $\mathrm{n}(\mathrm{A} \cup \mathrm{B})=\mathrm{n}(\mathrm{A})+\mathrm{n}(\mathrm{B})-\mathrm{n}(\mathrm{A} \cap \mathrm{B})$ $3+6-3$ $\mathrm{n}(\mathrm{A} \cup \mathrm{B})=6$ so minimum no of elements in $\mathrm{A} \cup \mathrm{B}$ is $6 .$

Q. Two sets A and B are as under $\mathrm{A}=\{(\mathrm{a}, \mathrm{b}) \in \mathrm{R} \times \mathrm{R}:|\mathrm{a}-5|<1 \text { and }|\mathrm{b}-5|<1\}$ $\mathrm{B}=\left\{(\mathrm{a}, \mathrm{b}) \in \mathrm{R} \times \mathrm{R}: 4(\mathrm{a}-6)^{2}+9(\mathrm{b}-5)^{2} \leq 36\right\} .$ Then (1) $\mathrm{A} \subset \mathrm{B}$ (2) $\mathrm{A} \cap \mathrm{B}=\phi$ (an empty set) (3) neither $\mathrm{A} \subset \mathrm{B}$ nor $\mathrm{B} \subset \mathrm{A}$ (4) $\mathrm{B} \subset \mathrm{A}$ [JEE-MAINS-2018]

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Sol. (1)

Q. Let $\mathrm{S}=\{\mathrm{x} \in \mathrm{R}: \mathrm{x} \geq 0 \text { and } 2|\sqrt{\mathrm{x}}-3|+\sqrt{\mathrm{x}}(\sqrt{\mathrm{x}}-6)+6=0\} .$ Then $\mathrm{S}:$ (1) contains exactly one element. (2) contains exactly two elements. (3) contains exactly four elements. (4) is an empty set. [JEE-MAINS-2018]

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Sol. (2)

• September 23, 2021 at 8:09 pm

Provide more number of questions and give correct solutions of each regarding questions.

1
• August 14, 2021 at 8:30 am

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10
• August 9, 2021 at 3:29 pm

pleae provide more number of questions.

121
• July 23, 2021 at 6:06 pm

E sala become rotten u provide more no of
Question and do their best solution
But yo do wrong solution

18
• May 25, 2021 at 11:31 pm

oof iski bhi aukaat nahi hai kya

17
• December 29, 2020 at 8:23 pm

Y only few questions want more number of questions

68
• December 1, 2020 at 1:51 pm

6
• April 24, 2021 at 7:49 pm

Why

6
• November 27, 2020 at 8:11 pm

11
• November 24, 2020 at 11:34 am

Not giving sol correct that problem rather than that no problem good

0
• November 22, 2020 at 8:23 pm

Not so hard question

53
• October 2, 2020 at 9:52 am

Pls help me with the 2nd question

2
• September 29, 2020 at 6:04 pm

Maja aa gaya

0
• September 14, 2020 at 10:52 am

What is this..?😶😶……only a few questions are present here…it would be better for students if some more highly skilled questions are present here…

2
• May 15, 2021 at 12:27 pm

U r right

1
• September 10, 2020 at 5:28 pm

Only few questions are there

1
• September 4, 2020 at 8:41 pm

0
• September 2, 2020 at 9:06 am

Not satisfied

0
• August 28, 2020 at 4:56 pm

Super 👌👌 good job 🙏🙏🙏

0
• August 27, 2020 at 8:20 pm

Not satisfied..with these qns ..want more to perfect

0
• August 27, 2020 at 6:14 am

solutions are not correct plz correct them

0
• August 23, 2020 at 10:54 am

Need more previous questions based on all chapters

0
• August 20, 2020 at 6:03 pm

Nise

0
• August 12, 2020 at 9:05 pm

We want more questions

0
• July 16, 2020 at 9:36 pm

it will benefit if some more questions are there

1
• July 16, 2020 at 9:35 pm

it will benefit if some more questions are there

0
• July 10, 2020 at 8:03 pm

It’s really helpful I like it

0
• July 4, 2020 at 1:20 pm

Very poor solutions

1
• May 23, 2020 at 10:30 pm

your site is very useful thanks

1
• May 22, 2020 at 9:44 am

Only three questions ,thank you so much

1
• May 16, 2020 at 7:15 pm

Only 3 questions.more questions ,more benefit.

0
• March 15, 2021 at 11:13 pm

What is 👆there…….
few questions (about 3)……set is the important topic in JEE mains,,,,,but you showed only 2 qst🤷‍♀…1st thng ,,,2 qst i cnt read ……plzzz update it

1