Class 11 Mathematics and Statistics Part 2 – Daily Revision MCQ (English Medium)
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What is the value of i³⁵?
Chapter 1: Complex Numbers
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Answer: C. −i
i⁴ = 1 and 35 = 4×8 + 3, so i³⁵ = i³ = −i.What is the modulus of the complex number z = 3 − 4i?
Chapter 1: Complex Numbers
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Answer: B. 5
|z| = √(a² + b²) = √(9 + 16) = √25 = 5.In the G.P. 3, 6, 12, 24, …, what is the 6th term?
Chapter 2: Sequences and Series
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Answer: A. 96
tₙ = arⁿ⁻¹ = 3 × 2⁵ = 3 × 32 = 96.What is the geometric mean (G.M.) of 4 and 16?
Chapter 2: Sequences and Series
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Answer: C. 8
G.M. of x and y = √(xy) = √(4 × 16) = √64 = 8. (10 is their A.M.)In how many ways can a committee of 3 students be chosen from 8 students?
Chapter 3: Permutations and Combination
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Answer: B. 56
Order does not matter, so ⁸C₃ = (8×7×6)/(3×2×1) = 56. (336 = ⁸P₃ counts arrangements.)What is the sum of all the binomial coefficients in the expansion of (1 + x)⁶?
Chapter 4: Methods of Induction and Binomial Theorem
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Answer: D. 64
C₀ + C₁ + … + Cₙ = 2ⁿ, so for n = 6 the sum is 2⁶ = 64.If set A has 3 elements and set B has 2 elements, how many ordered pairs are there in A × B?
Chapter 5: Sets and Relations
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Answer: A. 6
n(A × B) = n(A) × n(B) = 3 × 2 = 6.If f(x) = x² − 3x, what is f(−2)?
Chapter 6: Functions
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Answer: B. 10
f(−2) = (−2)² − 3(−2) = 4 + 6 = 10.Find the limit of (x² − 9)/(x − 3) as x → 3.
Chapter 7: Limits
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Answer: D. 6
(x² − 9)/(x − 3) = x + 3 for x ≠ 3, so the limit is 3 + 3 = 6.f(x) = (x² − 1)/(x − 1) for x ≠ 1 and f(1) = k. For which k is f continuous at x = 1?
Chapter 8: Continuity
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Answer: C. 2
For x ≠ 1, f(x) = x + 1, so the limit at 1 is 2; continuity needs f(1) = 2, so k = 2.
Class 11: MCQ in other subjects
All questions are written by PadhaiNotes in our own words from the chapters of the official Maharashtra State Board Balbharati textbook (ebalbharati.in). Each question shows its chapter.