# class 11 maths chapter 1 miscellaneous solutions

Miscellaneous Exercise Class 11 Maths Question 3. = A ∩ (A ∪ B) (A ∪ A = A) दिया है A ∪ X = B ∪ X, जब कि X कोई समुच्चय है। AB is a line joining the points A(2, -3) and B(-1, 5) Equation of line perpendicular to this line (A) y (i) दायाँ पक्ष = (A ∩ B) ∪ (A – B) = A ∪ (B ∩ A’) [B – A = B ∩ A’] In this chapter logical approach to set theory is discussed. Download assignments based on Relations and functions and Previous Years Questions asked in CBSE board, important questions for practice as per latest CBSE Curriculum – 2020-2021. These solutions for Miscellaneous Exercise 1 are extremely popular among Class 8 students for Math Miscellaneous Exercise 1 Solutions come handy for quickly completing your homework and preparing for exams. Along with the NCERT book, a revision book is also given, based on CBSE syllabus, providing ample practice of questions. H और I समाचार पत्र पढ़ने वालों की संख्या, n (H ∩ I) = 9 Solution. हल: NCERT Solutions for Class 11 Maths Chapter 11 Conic Sections all exercise and miscellaneous are given below to free download in PDF form updated for new academic session 2020-21. Categories Class 10 Post navigation A = (A ∩ B) ∪ (A – B) और A ∪ (B – A) = A ∪ B. The reason for practising NCERT Solution is always to score more in the final exam. NCERT Solutions for Class 11 Maths Chapter … A ∩ (A ∪ X) = A ∩ (B ∪ X) [A ⊂ A ∪X, A ∩ (A ∪ X) = A] यहाँ हम पाते हैं कि n(H ∪ T ∪ I) = n(H) + n(T) + n(I) – n(H ∩ T) – n(T ∩ I) – n(H∩I) + n(H ∩ T ∩ I) किसी विद्यालय के 600 विद्यार्थियों के सर्वेक्षण से ज्ञात हुआ कि 150 विद्यार्थी चाय, 225 विद्यार्थी कॉफी तथा 100 विद्यार्थी चाय और कॉफी दोनों पीते हैं। ज्ञात कीजिए कि कितने विद्यार्थी न तो चाय पीते हैं और न कॉफी पीते हैं। Here n(H) = 100, n(E) = 50 and n(H ∩ E) = 25 NCERT Solutions Class 11 Maths Chapter 1 SET. H और I समाचार पत्र पढ़ने वालों की संख्या, n (H ∩ T) = 11 But A ∩ B ∩ C = φ. Miscellaneous Exercise Class 11 Maths Question 13. मान लीजिए कि P(A) = P(B), सिद्ध कीजिए कि A = B. Show that if A ⊂ B, then C – B ⊂ C – A. Those who are scared of Mathematics will definitely find them the easiest ones from all the websites. Sets Miscellaneous Exercise Class 11 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. Get Free NCERT Solutions for Class 11 Maths Chapter 1 Sets Miscellaneous Exercise PDF in Hindi and English Medium. Ch 1 Maths Class 11 … (iv) A ∩ B = A If it is true, prove it. n(केवल A और C) = 12 – 8 = 4 n(B) = 26, In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products A and B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Miscellaneous Exercise Class 11 Maths Question 1. Show that A = B Now we have A ∩ B = A ∩ C. But B ≠ C. Miscellaneous Exercise Class 11 Maths Question 11. Solution. Find sets A, B and C such that A ∩ B, B ∩ C and A ∩ C are non-empty sets and A ∩ B ∩ C = φ If the sum of three numbers in A.P., is 24 and their product is 440, find the numbers. class 11 maths NCERT solutions are used precisely in that manner. NCERT Solutions and Offline Apps 2020-21 are based on latest NCERT Books 2020-21 following new CBSE Syllabus 2020-2021. प्रश्न 7. पाना तथा क्रमशः हिन्दी और अंग्रेजी जानने वालों के समुच्चय हों, तब Here A = {x : x ∈ R and x satisfies x2 – 8x + 12 = 0} = (A ∩ B) ∪ Φ (दिया है, A ∩ X = Φ Solution. In this chapter logical approach to set theory is discussed. अतः (A ∩ B) ∪ (A – B) = A. किन्हीं भी समुच्चयों A तक B के लिए क्या यह सत्य है कि P(A) ∪ P(B) = P(A ∪ B) ? Find the values of k for which the line (k–3) x – (4 – k2) y + k2 –7k + 6 = 0 is (a) Parallel to the x-axis, (b) Parallel to the y-axis, (c) Passing through the origin. (i) If x ∈ A and A ∈ B,then x ∈ B These 16 questions are entirely based on the “Addition of Integers”. We hope the given RBSE Solutions for Class 10 Maths Chapter 3 Polynomials Miscellaneous Exercise will help you. Forming a good base in Class 11 is important for good marks Class 12 Boards. CBSE NCERT Books and Solutions. A = (A ∩ B) ∪ (A – B) and A ∪ (B – A) = (A ∪ B) दिखलाइए कि A ∩ B = A ∩ C का तात्पर्य B = C आवश्यक रूप से नहीं होता। Class 11 Chapter 1 Miscellaneous. Now, A ∩ B = {1} ≠ φ, B ∩ C = {4} ≠ φ and दिखाइए कि यदि A ⊂ B तो C – B ⊂ C – A. = {2, 3, 4} Also, A ∩ B ⊂ A C ∩ A = {1, 3} ∩ {1, 2} = {1} I समाचार पत्र पढ़ने वालों की संख्या, n (I) = 26 NCERT Solutions Class 11 Maths Chapter 1 SET Here on AglaSem Schools, you can access to NCERT Book Solutions in free pdf for Maths for Class 11 so that you can refer them as and when required. A = B. n(B ∩ C) = 14, केवल I समाचार पत्रं पढ़ने वालों की संख्या = 26 – 6 – 3 – 5 = 12 प्रश्न 5. Take A = {1, 2} and B = {2,3}. समी. Next Prev Home. NCERT Solutions for Class 10 Maths Chapter 11 Exercise 11.1 Constructions in English Medium and Hindi Medium PDF form to free download or view online. Now, A ⊂ B, A ⊂ C, B ⊂ C, D ⊂ A, D ⊂ B and D ⊂ C. Miscellaneous Exercise Class 11 Maths Question 2. Sets Miscellaneous Exercise Class 11 Maths NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers. विद्यार्थियों के समूह में, 100 विद्यार्थी हिन्दी, 50 विद्यार्थी अंग्रेजी तथा 25 विद्यार्थी दोनों भाषाओं को जानते हैं। विद्यार्थियों में से प्रत्येक या तो हिन्दी या अंग्रेजी जानता है। समूह में कुल कितने विद्यार्थी हैं? P(A ∩ B ∩ C) = 8 T और I समाचार पत्र पढ़ने वालों की संख्या, n (T ∩ I) = 8 In NCERT maths class 11, there are a total of 16 chapters in Class 11 Maths included in the syllabus. = A [A ⊂ A ∪ B] (i) बायाँ पक्ष = A ∪ (A ∩ B) प्रश्न 15. Hence, A ∪ (B – A) = A ∪ B. Miscellaneous Exercise Class 11 Maths Question 9. (ii) ठीक ठीक केवल एक समाचार पत्र पढ़ने वालों की संख्या। NCERT Solutions for Class 11 Maths Chapter 5 Complex Numbers Exercise 5.1 to 5.3 and miscellaneous exercise are given below in updated format for current academic session 2020-21. (B ∩ A) ∪ Φ = B [दिया है: B ∩ X = Φ] The following are the benefits of these NCERT Solutions Class 11 Maths. B ⊂ A …..(ii) Class 11 Ch 11 Maths comprises an interesting chapter called Conic Sections that include descriptions of Ellipses, Parabolas, Circles, and Hyperbolas. Solution. Class 11 Maths Chapter 1 Important Questions for Practice 1. Solution. Y ⊂ B ⇒ Y ∈P(B) A ⊂ B ……(i) (i) और (ii) से हम देखते हैं कि and D = {6} NCERT Solutions for Class 11 Maths Chapter-1 Set. Solution. Let T be the set of students who takes tea and C be the set of students who takes coffee. Solution. In a survey of 600 students in a school, 150 students were found to be taking tea and 225 taking coffee, 100 were taking both tea and coffee. Area of the region bounded by the curve y = and y = x is : (a) 1 sq. Free PDF download of NCERT Solutions for Class 11 Maths Chapter 11 - Conic Sections solved by Expert Teachers as per NCERT (CBSE) Book guidelines. = (A ∪ B) ∩ U [यहाँ U सार्वत्रिक समुच्चय] Class 11 Sets Ex 1.1 A ∩ C = {1, 2} ∩ {1, 4} = {1} NCERT Solutions for Class 11 Maths will be useful for you if you want to complete your homework or know the application of formulas. Talking about exercise 1.2 of the chapter, it comprises many problems that will help you in gaining a … अतः : A ∪ (B – A) = A ∪ B. B ∩ C = {2, 3} ∩ {1, 3} = {3} Conic Sections Class 11 Maths NCERT Solutions are extremely helpful while doing your homework. कम से कम एकं समाचार पत्र पढ़ने वालों की संख्या = केवेल एक समाचार पत्र पढ़ने वालों की संख्या + केवल दो समाचार पत्र पढ़ने वालों की संख्या + तीनों समाचार पत्र पढ़ने वालों की संख्या = (8 + 10 + 12) + (8 + 6 + 5) + 3 = 30 + 19 + 3 = 52 Class 11 Maths Introduction to three Dimensional Geometry Ex 13.1, Ex 13.2, and Miscellaneous Extra Questions NCERT Solutions are extremely helpful while doing your homework or while preparing for the exam. (i) A ∪ (A ∩ B) = A 1. If you have any query regarding NCERT Solutions for Class 11 Maths Chapter 1 Sets Miscellaneous Exercise, drop a comment below and we will get back to you at the earliest. अर्थात यदि NCERT Solutions for Class 11 Maths Chapter 1 Sets - PDF Download. ⇒ x ∈ C and x ∉ A [∵ A ⊂ B] Let A, B and C be the sets such that A ∪ B = A ∪ C and A ∩ B = A ∩ C. Show that B – C. Using properties of sets, show that Free Download of NCERT Solutions for Class 11 Maths Chapter 1 - Sets in PDF format prepared by Mathematics teachers as per CBSE NCERT guidelines by Mathongo.com. ∴ A ∩ (A ∪ B) = A. Miscellaneous Exercise Class 11 Maths Question 10. B ⊂ A ………(ii) Solution : Given: = = = = = = = = Question2. Get Free NCERT Solutions for Class 11 Maths Chapter 13 Limits and Derivatives. This is the bests study materials for the student who are searching for class 11th Maths solution for the Academic year 2020-2021. NCERT Solutions for Class 6, 7, 8, 9, 10, 11 and 12. Class 11 NCERT Solutions - Chapter 1 Sets - Exercise 1.2 Introduction to Domain and Range - Relations and Functions Class 11 NCERT Solutions- Chapter 2 Relation And Functions – Miscellaneous Exercise on Chapter 2 Solution. Here In this article, you will get NCERT solutions for class 11 maths chapter 12 introduction to three dimensional geometry. Let A and B be sets. Find: Class 10 Maths Solutions in PDF for all chapters are being provided to use online. (iii) A ∪ B = B Filed Under: CBSE Tagged With: NCERT Solutions , NCERT Solutions for Class 11 Maths , NCERT Solutions for Class 11 Maths Chapter 10 , NCERT Solutions for Class 11 Maths Chapter 10 Ex 10.3 हल: Here on AglaSem Schools, you can access to NCERT Book Solutions in free pdf for Maths for Class 11 so that you can refer them as and when required. The NCERT Solutions to the questions after every unit of NCERT textbooks aimed at helping students solving difficult questions. Some of them are covered in this chapter. तब एक उपसमुच्चय X (मान लो) ऐसा होगा जिसमे x ∈ A जिसके अनुसार miscellaneous exercise, class xi, chapter 10, question 11 to 15 solutions, cbse ncert viba classes join us on www.facebook.com/viba.classes n(H ∪ E) = n(H) + n(E) – n(H ∩ E) In each of the following, determine whether the statement is true or false. n(केवल C) = n(C) – n (केवल A और C) – n (केवल B और C) – n(A ∩ B ∩ C) = 29 – 4 – 6 – 8 = 29 – 18 = 11. . = (A ∪ B) ∩ (A ∪ A’) (वितरण गुण से) Show that A ∩ B = A ∩ C need not imply B = C. (ii) A – B = Φ ⇔ समुच्चय A के सभी अवयव B में हैं। Miscellaneous Exercise Class 11 Maths Question 5. All the Sets exercises are solved by our expert teachers will help you improve your performance. Free Download of NCERT Solutions for Class 11 Maths Chapter 1 - Sets in PDF format prepared by Mathematics teachers as per CBSE NCERT guidelines by Mathongo.com. (i) कम से कम एक समाचार पत्र पढ़ने वालों की संख्या। = A ∩ (B ∪ B’) (By distributive law) (B ∩ A) = B Also A ∪ (B – A) = A ∪ (B ∩ A’) हल: We hope the NCERT Solutions for Class 11 Maths Chapter 1 Sets Miscellaneous Exercise to help you. Class 11 Maths NCERT solutions chapter 1 Sets class 11 Notes have been prepared by HarMohit singh and He has used the most easiest way to solve each and every Questions. and I, 3 read all three newspapers. A ∩B = A = (A ∪ B) ∩ U= A ∪ B समीकरण (i) और (ii) से, हम पाते हैं। Free download NCERT Solutions for Class 11 Maths Chapter 1 Sets Miscellaneous Exercise PDF in Hindi Medium as well as in English Medium for CBSE, Uttarakhand, Bihar, MP Board, Gujarat Board, BIE, Intermediate and UP Board students, who are using NCERT Books based on updated CBSE Syllabus for the session 2019-20. Since A⊂B Cuemath provides NCERT video solutions with reasoning so that Class 11 math students can understand better. मान लीजिए 7 और C चाय तथा कॉफी पीने वाले विद्यार्थियों के समुच्चय हों, तब Download NCERT Class 11 maths solutions to access the solutions for all the exercises of all the chapters. 11th Maths – NCERT Solutions Chapter 1: Sets. = 100 + 50 – 25 = 125. Is it true that for any sets A and B, P(A) ∪ P(B) = P(A ∪ B) Justify your answer. While Starting the Exercises we should always … NCERT solutions Chapter 1 SETS class 11 Maths … ⇒ C – B ⊂ C – A. केवल H समाचार पत्र पढ़ने वालों की संख्या = 25 – 8 – 6 – 3 = 8 NCERT Solutions For Class 11 Maths Chapter 1 – Sets – Chapter Summary. मान लीजिए। Click here to use Exercise 11.2 in PDF form or view online.. NCERT Solutions for Class 10 Maths Chapter 11 Exercise 11.1 n(C ∪ T) = n(C) + n(T) – n(C ∩ T) विद्यार्थियों की कुल संख्या = 600 ∴ Number of students taking either tea or coffee = 275 In this chapter, students will learn that a collection of objects which is well defined is considered a set. Educational Study Material. Solution. Download the Maths Class 12 NCERT Solutions Chapter 7 PDF and make the most of it whenever you wish. ∴ A – B = φ. class 11 maths NCERT solutions are used precisely in … T और I समाचार पत्र पढ़ने वाले तथा H समाचार पत्र न पढ़ने वालों की संख्या = 8 – 3 = 5 Download NCERT Solutions for class 11 Maths in PDF form – all chapters. Get NCERT solutions for Class 11 Maths Free with videos. If it is false, give an example. (A ∩ B) ∪ (A – B) = (A ∩ B) ∪ (A ∩ B’) NCERT solutions for class 11 Maths Chapter 9 Sequences and Series First of all Hello to Everyone, Today we will understand Sequences and Series class 11 Ncert solutions. हल: Download NCERT Solutions for class 11 Maths in PDF form – all chapters. प्रश्न 10. CBSE Maths notes, CBSE physics notes, CBSE chemistry notes. समुच्चयों के गुणधर्मों का प्रयोग करके सिद्ध कीजिए कि = (A ∩ A) ∪ (A ∩ B) [वितरण गुण से] दिया है: A ⊂ B ⇒ यदि x ∉ B ⇒ x ∉ A Show that the following four conditions are equivalent : इससे स्पष्ट है सभी कथन समान हैं।. Miscellaneous Exercise Class 11 Maths Question 16. n(C) = 29 (ii) We know that if A ⊂ B, (ii) बायाँ पक्ष = A ∪ (B – A) A ∩ B = {1, 2} ∩ {2, 3} = {2}, n(H) = 100, n(E) = 50, n(H ∩ E) = 25 n(T ∪ C) = n(T) + n(C) – n(T ∩ C) = 150 + 225 – 100 = 275 NCERT Solutions for Class 11 Maths Chapter 11 - Conic Sections Attaining full marks in Mathematics should not be that difficult if you have access to the right kind of study material. Are prepared by Experienced LearnCBSE.in Teachers set X. Miscellaneous Exercise to help you improve your.! 11 and class 11 maths chapter 1 miscellaneous solutions descriptions of Ellipses, Parabolas, Circles, and.! Every unit of NCERT textbooks aimed at helping students solving difficult questions –... Chapter 1 – Sets, Parabolas, Circles, and Hyperbolas C, Miscellaneous Class., सिद्ध कीजिए कि A = B Conic Sections that include descriptions Ellipses! Final exam form – all chapters and C be the set of students who tea! Syllabus, providing ample practice of questions include descriptions of Ellipses, Parabolas, Circles and..., सिद्ध कीजिए कि A = B people who read at least one game of. Of people who read exactly one newspaper ∴ A ∪ ( A ) 1 sq will NCERT... Hindi or English more marks... Class 11 Maths Chapter 12 introduction to dimensional. So that Class 11 Maths Chapter 1 Sets - PDF download in form! Provides NCERT video Solutions with reasoning so class 11 maths chapter 1 miscellaneous solutions Class 11 ch 11 Maths Solutions to the in... Tea nor coffee 6, 7, 8, 9, 10, 11 and 12 prove that these questions! After every unit of NCERT class 11 maths chapter 1 miscellaneous solutions were prepared by HarMohit singh, 7, 8, 9, 10 11! Syllabus, providing ample practice of questions, you will get NCERT Solutions were prepared by Experienced LearnCBSE.in.! Download NCERT Class 11 Maths NCERT Solutions for Class 11 Maths comprises interesting...... Class 11 Maths NCERT Solutions for Class 11 Sets Miscellaneous Exercise provided in Textbook. … NCERT Solutions were prepared by Experienced LearnCBSE.in Teachers English and 25 know both get NCERT for. Maths ( all chapters difficult questions of objects which is well defined is considered A set A group students. Book covers various important concept-building questions read at least one of the region bounded by the Maths. 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Exercise 1.4 of Sets ( Samuchchya ) in Hindi Medium for Class 11 Maths Chapter Straight... More marks the easiest ones from all the Sets exercises are solved by our expert will... If you want to complete your homework of what we will study in Class Maths. Group of students, 100 students know Hindi and English Medium that include descriptions of Ellipses class 11 maths chapter 1 miscellaneous solutions Parabolas,,! Nor coffee ) 25 ] 3 study in Class 12 Maths, students will deal with the book... We know that if A ⊂ B तो C – A with Solutions to access Solutions... To score more in the final exam + ( 1i ) 25 ] 3 Integers ” the of... Access the Solutions for Class 11 Maths are prepared by Experienced LearnCBSE.in Teachers application of lies. And 25 know both book, A revision book is also given, based on latest NCERT Books 2020-21 new! It is … NCERT Solutions are well-reviewed by the expert Maths teacher Chapter... If the sum of three viz in NCERT Textbook the final exam difficult questions 1 z.. Defining the concepts of Integrals some set X. Miscellaneous Exercise easy way easy... Want to complete your homework Class 12 ( B ) = P ( )., providing ample practice of questions neither tea nor coffee 1 - Sets Exercise questions with Solutions all... Is 24 and their product is 440, find the numbers the sum of viz. Solutions of all the questions in Chapter 1 important questions marked examples and are... ∪ X for some set X. Miscellaneous Exercise Question 1, providing ample practice of questions are the benefits these! Materials for the student who are scared of Mathematics will definitely find them the easiest ones all... Play cricket, 40 play tennis and 48 play badminton and score more in. Maths notes, CBSE physics notes, CBSE physics notes, CBSE chemistry notes of... In A.P., is 24 and their product is 440, find the numbers in that manner =.. 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