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Analytic geometry

Written by Hassan Raza (Mathematics)

8 Class 12 Mathematics questions with answers and explanations.

Printable worksheet with answer key

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

    • 1 4
    • 2 1/2
    • 3 3
    • 4 2
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    Correct answer: 2

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

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  2. The equation of a line with slope 3 and y intercept 2 is:

    • 1 y = 3x + 2
    • 2 y = 3x - 2
    • 3 y = 2x + 3
    • 4 y = x + 5
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    Correct answer: y = 3x + 2

    y = m x + c.

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  3. The distance between (1, 1) and (4, 5) is:

    • 1 7
    • 2 25
    • 3 5
    • 4 3
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    Correct answer: 5

    Square root of (9 + 16) = 5.

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  4. Two lines are perpendicular if the product of their slopes is:

    • 1 0
    • 2 2
    • 3 1
    • 4 -1
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    Correct answer: -1

    m₁ m₂ = -1.

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  5. The area of the triangle with vertices (0, 0), (4, 0) and (0, 3) is:

    • 1 3.5
    • 2 6
    • 3 12
    • 4 7
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    Correct answer: 6

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

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  6. The slope of a line parallel to the x axis is:

    • 1 0
    • 2 1
    • 3 -1
    • 4 Undefined
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    Correct answer: 0

    A horizontal line has zero slope.

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  7. The equation of the y axis is:

    • 1 x = y
    • 2 x = 0
    • 3 y = 0
    • 4 y = 1
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    Correct answer: x = 0

    All points on the y axis have x = 0.

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  8. The midpoint of the line from (0, 0) to (6, 6) is:

    • 1 (3, 3)
    • 2 (0, 6)
    • 3 (1, 1)
    • 4 (6, 0)
    Show answer

    Correct answer: (3, 3)

    Average the coordinates.

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