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CDS Coordinate Geometry — practice questions

Explore 44 free Coordinate Geometry questions in CDS 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 44.

CLASS10 · Mathematics · Distance Formula — Gap FillRead the answer and worked solution →CLASS10 · Mathematics · Section FormulaRead the answer and worked solution →SAT · Mathematics · Slope & InterceptRead the answer and worked solution →SAT · Mathematics · Distance Formula — Gap FillRead the answer and worked solution →SAT · Mathematics · Slope from Two Points — Gap FillRead the answer and worked solution →Judge these points and axes claimsRead the answer and worked solution →Sort points into their quadrantsRead the answer and worked solution →Flip the cards and pair each coordinate quantity with its formula.Read the answer and worked solution →Swipe LEFT for equations of straight lines, RIGHT for equations of circles.Read the answer and worked solution →Pop the bubbles whose coordinates lie on the circle x² + y² = 25. Avoid the others.Read the answer and worked solution →Pick the equation in each round that does not belong with the other three.Read the answer and worked solution →Match the graph wordsRead the answer and worked solution →Which axis is itRead the answer and worked solution →Read the pointRead the answer and worked solution →The graph sentenceRead the answer and worked solution →Graph facts, true or falseRead the answer and worked solution →Quick graph picksRead the answer and worked solution →Plot a linear graphRead the answer and worked solution →Key in the coordinate answerRead the answer and worked solution →Which one does NOT belong?Read the answer and worked solution →Match the coordinate termRead the answer and worked solution →Sort the points by quadrantRead the answer and worked solution →On which axis?Read the answer and worked solution →True or false about the planeRead the answer and worked solution →Coordinate numbersRead the answer and worked solution →Pick the quadrantRead the answer and worked solution →Complete the axes ruleRead the answer and worked solution →Coordinates bingoRead 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 →

Worked practice questions

CLASS10 · Mathematics · Distance Formula — Gap Fill

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Missing parts
  1. Answer
    (y₂−y₁)²
    Choices
    1. (x₂−x₁)²
    2. (y₂−y₁)²
    3. x₂y₂
    4. x₁+y₁
  2. Answer
    √(a² + b²)
    Choices
    1. √(a² + b²)
    2. a + b
    3. ab
    4. a² − b²
Complete the statement
Distance between (x₁,y₁) and (x₂,y₂) = √((x₂−x₁)² + {0}). Distance from origin to (a, b) = {1}.
Instructions
Fill the distance-formula expressions.

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CLASS10 · Mathematics · Section Formula

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Matching pairs
  1. Left
    Midpoint of (x₁,y₁) & (x₂,y₂)
    Right
    ((x₁+x₂)/2, (y₁+y₂)/2)
  2. Left
    Internal divides m:n
    Right
    ((mx₂+nx₁)/(m+n), (my₂+ny₁)/(m+n))
  3. Left
    Centroid of triangle
    Right
    ((x₁+x₂+x₃)/3, (y₁+y₂+y₃)/3)
  4. Left
    Distance from (1,2) to (4,6)
    Right
    5
  5. Left
    Midpoint of (0,0) and (6,8)
    Right
    (3, 4)
  6. Left
    Distance from origin to (3,4)
    Right
    5
Instructions
Match each section / distance question to its result.

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SAT · Mathematics · Slope & Intercept

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Matching pairs
  1. Left
    y = 2x + 5
    Right
    Slope 2, y-int 5
  2. Left
    y = −x + 3
    Right
    Slope −1, y-int 3
  3. Left
    y = 5
    Right
    Horizontal line
  4. Left
    x = 4
    Right
    Vertical line (undefined slope)
  5. Left
    Slope formula
    Right
    m = (y₂ − y₁) / (x₂ − x₁)
  6. Left
    Parallel lines
    Right
    Same slope
Instructions
Match each line / slope concept to its meaning.

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