Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects

Mathematics

Operations on Sets (Union, Intersection, Difference)

समुच्चयों पर संक्रियाएँ (संघ, प्रतिच्छेद और अंतर)

In Class 11 Mathematics, the Sets chapter introduces Operations on Sets (Union, Intersection, Difference). Students learn to combine sets using union, identify common elements through intersection, and find elements belonging to one set but not another using difference. They also apply these operations to subset relations, Venn diagrams, and problems involving the number of elements in sets.

Practice questions

If \(A\cup B=A\cup C\) and \(A\cap B=A\cap C\), which conclusion must be true?If \(A=\{a,b,c,d\}\) and \(B=\{b,d,e\}\), what is \((A\setminus B)\cup(B\setminus A)\)?If \(A\cap B=\varnothing\), which formula for \(|A\cup B|\) is correct?If \(A\setminus B=\{1,4\}\), \(A\cap B=\{2,3\}\), and \(B\setminus A=\{5,6,7\}\), what is \(A\cup B\)?If A = {x ∈ ℝ | x² − 5x + 6 = 0} and B = {x ∈ ℝ | x² − 7x + 12 = 0}, what is A ∩ B?If A and B are finite sets and |A \ B| = 9, |B \ A| = 4, and |A ∩ B| = 11, what is |A ∪ B|?If \(A\cup B=A\) and \(A\cap B=B\), which of the following statements must be true?If \(A=\{1,3,5,7,9\}\), \(B=\{0,3,6,9\}\), and \(C=\{3,4,5,9\}\), what is \(A\cap(B\cup C)\)?If \(A\setminus C=B\setminus C\) and \(A\cap C=B\cap C\), what is the conclusion about \(A\) and \(B\)?If A ∩ B ⊆ C, which of the following sets must be empty?If \(A=\{1,2,3,4\}\) and \(B=\{3,4,5,6\}\), what is \(\mathcal P(A\cap B)\cap\mathcal P(A\setminus B)\)?If \(A\cup B=A\cup C\), which additional statement is sufficient to prove \(B=C\)?If A \ B = A ∩ C and A ∩ B = A \ C, what is A ∩ B ∩ C?If \(A=\{x\in\mathbb Z:|x|\le 4\}\) and \(B=\{x\in\mathbb Z:x^2\le 9\}\), what is \(A\setminus B\)?Which expression is equal to \(A\setminus(B\setminus C)\)?If \(n(A\cup B)=n(A)+n(B)\) and \(n(A)=0\), what is \(A\cap B\)?If A ∩ B = A \ B, which conclusion about A is correct?If sets A, B, and C satisfy A ⊆ B and B ∩ C = ∅, what is A ∩ C?If A = {x : x ∈ ℕ, x ≤ 12}, B = {x ∈ A : x is even}, and C = {x ∈ A : x is prime}, how many elements are in B ∪ C?If A ∪ B = A \ B, what is necessarily true about B?