Mathematics

Q. If J = [[1, 2], [2, 4]], what is det(J)? (2022)
  • A. 0
  • B. 1
  • C. 2
  • D. 4
Q. If one root of the equation x² - 7x + k = 0 is 3, find k. (2023)
  • A. 10
  • B. 12
  • C. 15
  • D. 9
Q. If one root of the equation x² - 7x + k = 0 is 3, what is the value of k? (2020)
  • A. 10
  • B. 12
  • C. 15
  • D. 9
Q. If one root of the equation x² - 7x + p = 0 is 3, what is the value of p? (2020)
  • A. 6
  • B. 9
  • C. 12
  • D. 15
Q. If sin(θ) = 0.5, what is θ in degrees? (2014)
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If sin(θ) = 0.6, what is the approximate value of θ in degrees? (2019)
  • A. 36.87°
  • B. 45°
  • C. 53.13°
  • D. 60°
Q. If sin(θ) = 0.8, what is cos(θ) using Pythagorean identity? (2020)
  • A. 0.6
  • B. 0.8
  • C. 0.4
  • D. 0.2
Q. If sin(θ) = 0.8, what is cos(θ)? (2022)
  • A. 0.6
  • B. 0.8
  • C. 0.4
  • D. 0.2
Q. If sin(θ) = 0.866, what is θ in degrees? (2020)
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If sin(θ) = 0.866, what is θ? (2022)
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If sin(θ) = 1, what is the value of θ? (2023)
  • A.
  • B. 90°
  • C. 180°
  • D. 270°
Q. If sin(θ) = 1, what is θ? (2023)
  • A.
  • B. 30°
  • C. 90°
  • D. 180°
Q. If sin(θ) = 1/2, what is the possible value of θ? (2022)
  • A. 30°
  • B. 60°
  • C. 90°
  • D. 45°
Q. If sin(θ) = 1/√2, what is cos(θ)? (2022)
  • A. 1/√2
  • B. 0
  • C. √2/2
  • D. 1
Q. If sin(θ) = 1/√2, what is θ in degrees?
  • A. 30°
  • B. 45°
  • C. 60°
  • D. 90°
Q. If tan(θ) = 1, what is the value of θ? (2020)
  • A.
  • B. 30°
  • C. 45°
  • D. 60°
Q. If the circumference of a circle is 31.4 cm, what is its radius? (2022)
  • A. 5 cm
  • B. 10 cm
  • C. 15 cm
  • D. 20 cm
Q. If the circumference of a circle is 31.4 cm, what is its radius? (Use π = 3.14) (2015)
  • A. 5 cm
  • B. 7 cm
  • C. 10 cm
  • D. 8 cm
Q. If the circumference of a circle is 31.4 cm, what is the radius? (2020) 2020
  • A. 5 cm
  • B. 10 cm
  • C. 15 cm
  • D. 20 cm
Q. If the coordinates of a point P are (1, -1, 2), what is the x-coordinate of the point Q if it is reflected across the yz-plane? (2023)
  • A. 1
  • B. -1
  • C. 2
  • D. 0
Q. If the coordinates of point A are (1, 2) and point B are (4, 6), what is the length of AB? (2023)
  • A. 5
  • B. 4
  • C. 3
  • D. 6
Q. If the coordinates of point C are (5, 5) and point D are (5, 10), what is the distance CD? (2021)
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. If the coordinates of point C are (5, 5) and point D are (5, 10), what is the length of CD? (2021)
  • A. 5
  • B. 10
  • C. 15
  • D. 20
Q. If the coordinates of point C are (5, 5) and the slope of line AC is 1, what is the equation of line AC? (2021)
  • A. y = x
  • B. y = 5
  • C. y = x + 5
  • D. y = x - 5
Q. If the coordinates of point C are (5, 5) and the slope of the line is 1, what is the equation of the line? (2021) 2021
  • A. y = x
  • B. y = 5
  • C. y = 2x - 5
  • D. y = x + 5
Q. If the cost function is C(x) = 3x^2 + 12x + 5, find the minimum cost. (2020)
  • A. 5
  • B. 8
  • C. 12
  • D. 10
Q. If the cost function is C(x) = 3x^2 + 12x + 5, find the minimum cost. (2020) 2020
  • A. 5
  • B. 8
  • C. 12
  • D. 10
Q. If the cost function is C(x) = 5x^2 + 20x + 100, find the minimum cost. (2020)
  • A. 100
  • B. 120
  • C. 140
  • D. 160
Q. If the diameter of a circle is 20 cm, what is its circumference? (2022)
  • A. 62.83 cm
  • B. 31.42 cm
  • C. 20 cm
  • D. 40 cm
Q. If the first term of a geometric series is 4 and the common ratio is 2, what is the 7th term?
  • A. 128
  • B. 256
  • C. 512
  • D. 1024
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