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JEE Main Coordinate Geometry — practice questions

Explore 36 free Coordinate Geometry questions in JEE Main 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 1–30 of 36.

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 →The angle a line makes with the positive x-axis is its:Read the answer and worked solution →The inclination of a line is measured in the direction that is:Read the answer and worked solution →A line lying along the x-axis has an inclination of:Read the answer and worked solution →A vertical line has an inclination of how many degrees?Read the answer and worked solution →The tangent of the inclination of a line is called its:Read the answer and worked solution →The slope of a line is written with the letter:Read the answer and worked solution →The slope of a line whose inclination is ninety degrees is:Read the answer and worked solution →The slope of the x-axis itself works out to:Read the answer and worked solution →The slope of the y-axis is:Read the answer and worked solution →Two non-vertical parallel lines have slopes that are:Read the answer and worked solution →If two lines have the same slope, the lines must be:Read the answer and worked solution →Two lines are perpendicular when the product of their slopes is:Read the answer and worked solution →The angle between two lines can be worked out from their:Read the answer and worked solution →Three points lying on one straight line are said to be:Read the answer and worked solution →Collinearity of three points can be tested using their:Read the answer and worked solution →The inclination of a line lies between zero and how many degrees?Read the answer and worked solution →A line parallel to the x-axis has a slope of:Read the answer and worked solution →Another word used for the slope of a line is:Read the answer and worked solution →The slope of a line through two points needs how many points?Read the answer and worked solution →A line coinciding with the x-axis has an inclination of:Read the answer and worked solution →Lines whose inclinations are equal must be:Read the answer and worked solution →Slope is not defined for a line that is:Read the answer and worked solution →True or false on straight linesRead the answer and worked solution →Quick picks on straight linesRead the answer and worked solution →Match each line to its slopeRead the answer and worked solution →Slope defined or notRead the answer and worked solution →Parallel or perpendicularRead 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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