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Class XI_Binomial Theorem NCERT EXEMPLAR COMPLETE EXERCISE – 8.3 | ONE SHOT Previous recorded questions and their links: Introduction: • INTRODUCTION TO BINOMIAL THEOREM Q: Expand (1+2x-3x^2 )^5: • Q: Expand (1+2x-3x^2 )^5 Q: Find the value of (18^3+7^3+3(18)(7)(25))/(3^6+6⋅243⋅2+15⋅81⋅4+20⋅27⋅8+15⋅9⋅16+6⋅3⋅32+64): • Q: Find the value of (〖18〗^3+7^3+3(18)(7)(... Q: Evaluate (1.0025)^10 up to 5 place of decimal.: • Q: Evaluate (1.0025)^10 up to 5 place of d... Q: Which one is greater: 99^50+100^50 or 101^50: • Q: Which one is greater: 99^50+100^50 or 1... Q: Prove that ∑_(r=0)^n▒〖3^r⋅〖(_^n)C〗_r 〗=4^n: • Q: Prove that ∑_(r=0)^n▒〖3^r⋅ ^n C_r 〗=4^n Q: To check if: 11^n-10n+1 is divisible by 100 2^3n-7n-1 is divisible by 99 3^(2n+2)-8n-9 is divisible by 69: • Q: To check if: 〖11〗^n-10n+1 is divisib... Q: Using Binomial Theorem, Prove that 2^3n-7n-1 is divisible by 49; n∈N: • Q: Using Binomial Theorem, Prove that 2^3n... Q: Using Binomial Theorem, Prove that 2^(4n+4)-15n-16 is divisible by 225; n∈N: • Q: Using Binomial Theorem, Prove that 2^(4... Q: Using Binomial Theorem, Prove that 6^n-5n always leave remainder 1 when divided by 25: • Q: Using Binomial Theorem, Prove that 6^n-... Q3: Which is larger (1.01)^1000000 or 10000?: • Q3: Which is larger (1.01)^1000000 or 10000? Q11: Find (a+b)^4-(a-b)^4. Hence evaluate (√3+√2)^4-(√3-√2)^4: • Q11: Find (a+b)^4-(a-b)^4. Hence evaluate ... Q1: If a & b are distinct integers, prove that ‘a-b’ is a factor if a^n-b^n,n∈I^+: • .Q1: If a & b are distinct integers, prove... Q6: Expand (3x^2-2ax+3a^2 )^3: • Q6: Expand (3x^2-2ax+3a^2 )^3 Find the coefficient of x in the expansion of (1-3x+7x^2 ) (1-x)^16: • Find the coefficient of x in the expansion... Find numerically the greatest term in the expansion of (2+3x)^9, where x=3/2: • Find numerically the greatest term in the ... The first three terms in the expansion of (x+y)^n are 1, 56, 1372 respectively. Find the values of x & y.: • The first three terms in the expansion of ... If (1+ax)^n=1+8x+24x^2+⋯ find a+n: • If (1+ax)^n=1+8x+24x^2+⋯ find a+n If the coefficient of 2nd, 3rd & 4th terms in the expansion of (1+x)^n are in AP. Find n.: • If the coefficient of 2nd, 3rd & 4th terms... CONCEPT: GENERAL TERM IN A BINOMIAL EXPANSION: • CONCEPT: GENERAL TERM IN A BINOMIAL EXPANSION Find the coefficient of x^11 in the expansion of (x^3-2/x^2 )^12.: • Find the coefficient of x^11 in the expans... Determine whether the expansion of (x^2-2/x)^18 will contain a term containing x^10?: • Determine whether the expansion of (x^2-2/... Find the term independent of x in the expansion of (√x/√3+√3/(2x^3 ))^10.: • Find the term independent of x in the expa... Find the middle term in the expansion of (2ax-b/x^2 )^12.: • Find the middle term in the expansion of (... Find the middle term in the expansion of (p/x+x/p)^9.: • Find the middle term in the expansion of (... #CBSE #ICSE #Boards #8th #9th #10th #Foundation #Competition #IIT #JEE #Advanced #Mains #NTSE #Olympiads #Exams #Examination #Achiever #Topper #Zenith #Zenithinstituteofmathematics #InderSir #Ludhiana #ModelGram #BestMathsCoaching #BestTutorials #BestTuition #BestInLudhiana #MathTricks #VIII #IX #X #XI #XII #Important #Excellent #Question #BinomialTheorem #Class11Maths #CBSEClass11Maths #BinomialExpansion #BinomialTheoremExplained #MathsTutorial #Mathematics #CBSEMATH #IITJEE #NCERT #MathsLecture #BinomialTheoremExamples #mathsproblems #MathsConcepts #MathsClass #BinomialTheoremClass11