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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 69

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 · set 69
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 69
Name:Date:Score:    / 12

Write the value.

  1. Abscissa of (−2, 5)
  2. Ordinate of (−2, −3)
  3. Ordinate of (−3, 3)
  4. Ordinate of (6, 0)
  5. Ordinate of (−4, −4)
  6. Abscissa of (−6, −3)
  7. Abscissa of (6, 8)
  8. Ordinate of (7, −9)
  9. Ordinate of (−3, −3)
  10. Ordinate of (−1, −2)
  11. Abscissa of (−1, −1)
  12. Ordinate of (3, 8)

Distance formula

Class 10 · Worksheet 3 · set 69
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 69
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 69
Name:Date:Score:    / 6

Find the coordinates of the point.

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

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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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