Mathematics

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Q. Find the area of the triangle formed by the points A(0, 0, 0), B(1, 0, 0), and C(0, 1, 0). (2023)
  • A. 0.5
  • B. 1
  • C. 2
  • D. 0
Q. Find the area of the triangle formed by the points A(1, 2, 3), B(4, 5, 6), and C(7, 8, 9). (2022)
  • A. 0
  • B. 6
  • C. 12
  • D. 3
Q. Find the coefficient of x^0 in the expansion of (2x - 3)^3.
  • A. -27
  • B. -24
  • C. -18
  • D. -12
Q. Find the coefficient of x^1 in the expansion of (x + 4)^3.
  • A. 12
  • B. 48
  • C. 36
  • D. 24
Q. Find the coefficient of x^2 in the expansion of (2x + 3)^6.
  • A. 540
  • B. 720
  • C. 810
  • D. 960
Q. Find the coefficient of x^2 in the expansion of (x + 4)^5. (2023)
  • A. 80
  • B. 100
  • C. 120
  • D. 160
Q. Find the coefficient of x^2 in the expansion of (x - 5)^5.
  • A. 100
  • B. 150
  • C. 200
  • D. 250
Q. Find the coefficient of x^3 in the expansion of (2x - 3)^4. (2022)
  • A. -54
  • B. -108
  • C. 108
  • D. 54
Q. Find the coefficient of x^3 in the expansion of (x - 1)^7.
  • A. -35
  • B. -21
  • C. -7
  • D. -49
Q. Find the coefficient of x^3 in the expansion of (x - 2)^5.
  • A. -40
  • B. -80
  • C. -60
  • D. -100
Q. Find the coefficient of x^4 in the expansion of (2x - 3)^5.
  • A. -240
  • B. -360
  • C. -480
  • D. -600
Q. Find the coefficient of x^4 in the expansion of (2x - 3)^6.
  • A. 540
  • B. 720
  • C. 810
  • D. 900
Q. Find the coefficient of x^4 in the expansion of (3x + 2)^5. (2022)
  • A. 240
  • B. 360
  • C. 480
  • D. 600
Q. Find the coefficient of x^4 in the expansion of (x + 1)^6.
  • A. 15
  • B. 20
  • C. 30
  • D. 35
Q. Find the coefficient of x^4 in the expansion of (x + 2)^6.
  • A. 15
  • B. 30
  • C. 45
  • D. 60
Q. Find the coefficient of x^4 in the expansion of (x + 3)^6.
  • A. 81
  • B. 162
  • C. 243
  • D. 729
Q. Find the coefficient of x^4 in the expansion of (x + 5)^7.
  • A. 210
  • B. 1260
  • C. 1750
  • D. 2450
Q. Find the coefficient of x^4 in the expansion of (x - 1)^5.
  • A. -5
  • B. 10
  • C. -10
  • D. 5
Q. Find the coefficient of x^4 in the expansion of (x - 5)^6.
  • A. 150
  • B. 200
  • C. 250
  • D. 300
Q. Find the coefficient of x^5 in the expansion of (2x - 3)^6. (2022)
  • A. -540
  • B. 540
  • C. -720
  • D. 720
Q. Find the coefficient of x^5 in the expansion of (2x - 3)^7. (2023)
  • A. 168
  • B. 252
  • C. 336
  • D. 504
Q. Find the coefficient of x^5 in the expansion of (2x - 3)^8.
  • A. -6720
  • B. 6720
  • C. -3360
  • D. 3360
Q. Find the coefficient of x^5 in the expansion of (x + 1)^7.
  • A. 7
  • B. 21
  • C. 35
  • D. 42
Q. Find the coefficient of x^5 in the expansion of (x + 2)^7.
  • A. 21
  • B. 42
  • C. 56
  • D. 70
Q. Find the coefficient of x^6 in the expansion of (x + 1)^10. (2023)
  • A. 10
  • B. 45
  • C. 120
  • D. 210
Q. Find the constant term in the expansion of (3x - 4/x)^5.
  • A. -64
  • B. 0
  • C. 32
  • D. 48
Q. Find the constant term in the expansion of (x - 2/x)^6. (2022)
  • A. -64
  • B. 32
  • C. 0
  • D. -32
Q. Find the coordinates of the centroid of the triangle with vertices (0, 0), (6, 0), and (0, 8). (2022)
  • A. (2, 2)
  • B. (2, 3)
  • C. (3, 2)
  • D. (4, 4)
Q. Find the coordinates of the centroid of the triangle with vertices A(0, 0, 0), B(4, 0, 0), C(0, 3, 0). (2021)
  • A. (4/3, 1, 0)
  • B. (2, 1, 0)
  • C. (1, 1, 0)
  • D. (0, 0, 0)
Q. Find the coordinates of the centroid of the triangle with vertices at (0, 0), (6, 0), and (0, 8).
  • A. (2, 2)
  • B. (2, 3)
  • C. (3, 2)
  • D. (4, 4)
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