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Analytic geometry

Class 12 · Mathematics · 8 questions

Name: ____________________   Date: ____________

  1. The slope of the line through (1, 2) and (3, 6) is:

    • A 4
    • B 1/2
    • C 3
    • D 2
  2. The equation of a line with slope 3 and y intercept 2 is:

    • A y = 3x + 2
    • B y = 3x - 2
    • C y = 2x + 3
    • D y = x + 5
  3. The distance between (1, 1) and (4, 5) is:

    • A 7
    • B 25
    • C 5
    • D 3
  4. Two lines are perpendicular if the product of their slopes is:

    • A 0
    • B 2
    • C 1
    • D -1
  5. The area of the triangle with vertices (0, 0), (4, 0) and (0, 3) is:

    • A 3.5
    • B 6
    • C 12
    • D 7
  6. The slope of a line parallel to the x axis is:

    • A 0
    • B 1
    • C -1
    • D Undefined
  7. The equation of the y axis is:

    • A x = y
    • B x = 0
    • C y = 0
    • D y = 1
  8. The midpoint of the line from (0, 0) to (6, 6) is:

    • A (3, 3)
    • B (0, 6)
    • C (1, 1)
    • D (6, 0)

Answer key

1. D, 2. A, 3. C, 4. D, 5. B, 6. A, 7. B, 8. A

  1. (6 - 2) / (3 - 1) = 2.

  2. y = m x + c.

  3. Square root of (9 + 16) = 5.

  4. m₁ m₂ = -1.

  5. Area = 1/2 x 4 x 3 = 6.

  6. A horizontal line has zero slope.

  7. All points on the y axis have x = 0.

  8. Average the coordinates.