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GMAT Coordinate Geometry — practice questions

Explore 6 free Coordinate Geometry questions in GMAT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Coordinate Geometry questions and exercises with answers

Showing questions 1–6 of 6.

Complete the definition of slopeRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Complete the definition of slopeRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →

Worked practice questions

Complete the definition of slope

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Missing parts
  1. Answer
    y
    Choices
    1. y
    2. x
    3. angle
  2. Answer
    x
    Choices
    1. x
    2. y
    3. slope
Complete the statement
The slope of a non-vertical line through (x₁,y₁) and (x₂,y₂) is the difference in {0} divided by the difference in {1}.
Slope is a ratio of differences, and it needs the line to be non-vertical. Source: syllabus Maths, Ch 9 Straight Lines.

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Assertion and reason

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Questions
  1. Reason
    Its two points share an x value, so the denominator would be zero.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    A vertical line has no slope.
  2. Reason
    Otherwise the difference in x is zero and the quotient is undefined.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    The slope formula requires x₁ ≠ x₂.
  3. Reason
    Parallel lines have equal slopes.
    Verdict
    The assertion is false and the reason is true.
    Assertion
    Perpendicular lines have equal slopes.
  4. Reason
    Equal slopes between successive pairs settle it arithmetically.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Collinearity can be tested without drawing anything.
The reason must genuinely explain the assertion. Source: syllabus Maths, Ch 9 Straight Lines.

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Two are true, one is not

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Questions
  1. False statement
    Equal slopes means perpendicular
    Statements
    1. Equal slopes means parallel
    2. Slopes multiplying to −1 means perpendicular
    3. Equal slopes means perpendicular
  2. False statement
    Horizontal lines have undefined slope
    Statements
    1. Horizontal lines have undefined slope
    2. Horizontal lines have slope zero
    3. Vertical lines have undefined slope
  3. False statement
    That holds at 90 degrees too
    Statements
    1. Slope equals tan of the angle with the x-axis
    2. That holds at 90 degrees too
    3. That fails at 90 degrees
The false line swaps the parallel and perpendicular tests. Source: syllabus Maths, Ch 9 Straight Lines.

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More Mathematics topics

Statistics and ProbabilityPermutations and CombinationsProbabilityArithmetic ProgressionRelations, Functions & Inverse TrigonometryStraight Lines and Conic SectionsProbability & StatisticsAlgebra: Logarithms