Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 90

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 90
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 90
Name:Date:Score:    / 12

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 90
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 90
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 90
Name:Date:Score:    / 6

Find the coordinates of the point.

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

More worksheets

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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