General Form and Applications

40 MCQs

MCQs

40 questions · 35 min · 40 marks

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Sample questions

The first 5 of 40. Try each one, then tap to see the answer.

  1. Question 1

    The linear equation ax + by + c = 0 with a and b not both zero represents:

    • Aa circle
    • Ba parabola
    • Ca point
    • Da straight line
    Show answer

    Answer: D

    Every such equation represents a straight line.

  2. Question 2

    The slope of the line ax + by + c = 0 with b ≠ 0 is:

    • Aa/b
    • B−a/b
    • Cb/a
    • D−b/a
    Show answer

    Answer: B

    y = −(a/b)x − c/b so the slope is −a/b.

  3. Question 3

    The y-intercept of ax + by + c = 0 with b ≠ 0 is:

    • A−c/b
    • Bc/b
    • C−c/a
    • Db/c
    Show answer

    Answer: A

    Putting x = 0 gives y = −c/b.

  4. Question 4

    The x-intercept of ax + by + c = 0 with a ≠ 0 is:

    • Ac/a
    • B−a/c
    • C−c/a
    • Da/c
    Show answer

    Answer: C

    Putting y = 0 gives x = −c/a.

  5. Question 5

    If b = 0 in ax + by + c = 0 the line is:

    • Ahorizontal
    • Bvertical
    • Calways through the origin
    • Dnot a line
    Show answer

    Answer: B

    The equation becomes x = −c/a which is a vertical line.

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