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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 49

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 49
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 49
Name:Date:Score:    / 12

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 49
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 49
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 49
Name:Date:Score:    / 6

Find the coordinates of the point.

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