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Free · Class 9–10 · 5 worksheets · answer keys · practise online

Coordinate geometry worksheets — Class 9 and 10

Free coordinate geometry worksheets: quadrants, abscissa and ordinate (Class 9), distance formula, mid-point and section formula (Class 10) — new points every set, with answers.

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Quadrants (Class 9)Abscissa and ordinate (Class 9)Distance formula (Class 10)Mid-point (Class 10)Section formula (Class 10)

Quadrants

Class 9 · Worksheet 1
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Write the quadrant or the axis.

  1. Where does the point (6, −7) lie?
  2. Where does the point (−9, −4) lie?
  3. Where does the point (6, 6) lie?
  4. Where does the point (−7, 1) lie?
  5. Where does the point (8, −3) lie?
  6. Where does the point (−7, 9) lie?
  7. Where does the point (0, 1) lie?
  8. Where does the point (1, 8) lie?
  9. Where does the point (−4, 4) lie?
  10. Where does the point (−1, −5) lie?
  11. Where does the point (−9, 1) lie?
  12. Where does the point (−3, 4) lie?

Abscissa and ordinate

Class 9 · Worksheet 2
Name:Date:Score:    / 12

Write the value.

  1. Ordinate of (4, −3)
  2. Ordinate of (9, 6)
  3. Ordinate of (3, −6)
  4. Ordinate of (−3, 9)
  5. Abscissa of (8, −5)
  6. Abscissa of (2, −4)
  7. Abscissa of (−5, 7)
  8. Abscissa of (−2, −8)
  9. Abscissa of (−9, 9)
  10. Abscissa of (−4, −1)
  11. Ordinate of (6, −8)
  12. Ordinate of (3, 8)

Distance formula

Class 10 · Worksheet 3
Name:Date:Score:    / 10

Find the distance (simplest surd form).

  1. Distance between (−5, −7) and (−4, 4)
  2. Distance between (0, −5) and (0, −4)
  3. Distance between (−5, −7) and (−1, 2)
  4. Distance between (7, 3) and (−5, −1)
  5. Distance between (−2, −6) and (−2, 2)
  6. Distance between (1, −4) and (−2, 0)
  7. Distance between (−1, −7) and (−7, −6)
  8. Distance between (3, 1) and (0, 1)
  9. Distance between (−8, 7) and (−3, −2)
  10. Distance between (7, −8) and (0, 3)

Mid-point

Class 10 · Worksheet 4
Name:Date:Score:    / 10

Find the mid-point.

  1. Mid-point of (−3, −3) and (9, 1)
  2. Mid-point of (−8, −7) and (9, 2)
  3. Mid-point of (2, 1) and (4, 1)
  4. Mid-point of (−2, −8) and (−7, −1)
  5. Mid-point of (−8, 8) and (−3, −3)
  6. Mid-point of (1, −9) and (2, 2)
  7. Mid-point of (1, −8) and (0, −6)
  8. Mid-point of (−4, −8) and (8, 4)
  9. Mid-point of (−9, 8) and (6, 4)
  10. Mid-point of (−4, −8) and (−2, 6)

Section formula

Class 10 · Worksheet 5
Name:Date:Score:    / 6

Find the coordinates of the point.

  1. Point dividing the join of A(−9, 3) and B(3, −9) in the ratio 3 : 1
  2. Point dividing the join of A(−6, −9) and B(8, −2) in the ratio 3 : 4
  3. Point dividing the join of A(8, −5) and B(−7, −8) in the ratio 2 : 1
  4. Point dividing the join of A(−5, 1) and B(0, 1) in the ratio 4 : 1
  5. Point dividing the join of A(3, 5) and B(9, 5) in the ratio 2 : 1
  6. Point dividing the join of A(−3, −2) and B(−3, 2) in the ratio 1 : 3

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Questions

What is the distance of a point (x, y) from the origin?

√(x² + y²). For (3, 4) it is √(9 + 16) = 5.

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