Prove That One of (a+b)/2 and (a−b)/2 Is Odd and the Other Is Even Video Explanation Question If a and b are two odd positive integers such that a > b, prove that one of the two numbers \(\frac{a+b}{2}\) and \(\frac{a-b}{2}\) is odd and the other is even. Solution Step 1: Express Odd Integers in […]

अमेरिकी सरकार का शटडाउन (Government Shutdown) 2025 में 1 अक्टूबर से शुरू हो गया है। इसका कारण कांग्रेस में रिपब्लिकन और डेमोक्रेटिक नेताओं के बीच फंडिंग बिल पर सहमति न बन पाना है। इससे सरकारी सेवाएं और कई कार्यक्रम अस्थायी रूप से बंद हो गए हैं और लाखों सरकारी कर्मचारी अवैतनिक अवकाश पर हैं। ट्रंप

सम्राट चौधरी बायोग्राफी: बिहार के उपमुख्यमंत्री सम्राट चौधरी (जन्म— 16 नवम्बर 1968; लखनपुर, मुंगेर, बिहार) भारत के प्रमुख राजनेता और वर्तमान में बिहार के उपमुख्यमंत्री हैं। वे भारतीय जनता पार्टी (BJP) के प्रमुख नेता, जातीय राजनीति के माहिर खिलाड़ी और कुशवाहा समुदाय के सम्मानित चिह्न हैं।prabhatkhabar+1 प्रारंभिक जीवन और शिक्षा जन्म: 16 नवम्बर 1968, लखनपुर,

Class 11th Maths – RD Sharma Chapter 2 : Relation Exercise 2.1 Solutions If (a/3 + 1, b – 2/3 ) = (5/3, 1/3) find the value of a and b. Watch Solution If (x+1, 1) = (3, y-2), find the value of x and y. Watch Solution If the ordered pairs (x, -1)and (5, y)

Class 11th Maths – RD Sharma Chapter 1 : Sets – Fill in the Blanks Type Questions (FBQs) Solution If A and B are two finite sets , then n(A) + n(B) is equal to _________ Watch Solution If A is a finite set containing n elements then the number of subsets of A is ____________

Class 11th Maths – RD Sharma Chapter 1 : Sets – Multiple Choice Questions (MCQs) Solution For any sets A, (A’)’ is equal to Watch Solution Let A and B be two sets in the same universal set ,Then A – B = Watch Solution The number of subsets of a set containing n elements is

Class 11th Maths – RD Sharma Chapter 1 : Sets Exercise 1.8 Solutions If A and B are two sets such that n(A∪B)=50, n(A) = 28 and n(B) = 32, find n(A∩B). Watch Solution If P and Q are two sets such that P has 40 elements, P∪Q has 60 elements and P∩Q has 10 elements,

Class 11th Maths – RD Sharma Chapter 1 : Sets Exercise 1.7 Solutions For any two sets A and B, prove that : A’ – B’ = B – A Watch Solution For any two sets A and B , prove the following : A ∩ (A’ ∪ B) = A ∩ B Watch Solution For

Class 11th Maths – RD Sharma Chapter 1 : Sets Exercise 1.6 Solutions Find the smallest set A such that A ∪ {1, 2} = {1, 2, 3, 5, 9}. Watch Solution Let A={1,2,4,5}, B={2,3,5,6}, C={4,5,6,7} Verify the following identity : A∩(B∪C) = (A ∩B)∪(A∩C) Watch Solution Let A={1,2,4,5}, B={2,3,5,6}, C={4,5,6,7} Verify the following identity :

Class 11th Maths – RD Sharma Chapter 1 : Sets Exercise 1.5 Solutions If A and B are two sets such that A ⊂ B, then Find: (i) A ∩ B (ii) A ∪ B Watch Solution If A = {1, 2, 3, 4, 5}, B = {4, 5, 6, 7, 8}, C = {7, 8,