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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 4

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 4
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 4
Name:Date:Score:    / 12

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 4
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

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

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 4
Name:Date:Score:    / 6

Find the coordinates of the point.

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

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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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