Class 11 Mathematics and Statistics Part 1 – Daily Revision MCQ (English Medium)
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What is 150° in radian measure?
Chapter 1: Angle and its Measurement
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Answer: A. 5π/6
π radians = 180°, so 150° = 150 × π/180 = 5π/6.In a circle of radius 12 cm, an arc subtends an angle of π/3 radians at the centre. What is the length of the arc?
Chapter 1: Angle and its Measurement
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Answer: B. 4π cm
Arc length s = rθ = 12 × π/3 = 4π cm.In which quadrant is sinθ positive but cosθ negative?
Chapter 2: Trigonometry - I
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Answer: C. Second
In the second quadrant x is negative and y is positive, so sinθ > 0 and cosθ < 0.Which of these is equal to sin 2θ?
Chapter 3: Trigonometry - II
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Answer: D. 2 sinθ cosθ
The double-angle formula is sin 2θ = 2 sinθ cosθ.What is the value of the determinant with rows (3, 2) and (5, 4)?
Chapter 4: Determinants and Matrices
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Answer: A. 2
For a 2×2 determinant, value = ad − bc = 3×4 − 2×5 = 12 − 10 = 2.Two fair dice are thrown together. What is the probability that the sum of the numbers is 7?
Chapter 9: Probability
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Answer: B. 1/6
There are 36 outcomes; sum 7 comes from (1,6),(2,5),(3,4),(4,3),(5,2),(6,1) = 6, so P = 6/36 = 1/6.What is the slope of the line passing through the points (2, 3) and (5, 9)?
Chapter 5: Straight Line
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Answer: C. 2
Slope m = (y₂ − y₁)/(x₂ − x₁) = (9 − 3)/(5 − 2) = 6/3 = 2.What are the centre and radius of the circle x² + y² − 6x + 8y = 0?
Chapter 6: Circle
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Answer: B. Centre (3, −4), radius 5
Here g = −3, f = 4, c = 0; centre (−g, −f) = (3, −4) and r = √(g² + f² − c) = √(9 + 16) = 5.What are the coordinates of the focus of the parabola y² = 12x?
Chapter 7: Conic Sections
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Answer: C. (3, 0)
Compare with y² = 4ax: 4a = 12, so a = 3 and the focus is (a, 0) = (3, 0).What is the variance of the observations 2, 4, 6, 8, 10?
Chapter 8: Measures of Dispersion
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Answer: D. 8
Mean = 6; squared deviations 16, 4, 0, 4, 16 add to 40; variance = 40/5 = 8.
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.