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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 8

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 8
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 8
Name:Date:Score:    / 12

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 8
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 8
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 8
Name:Date:Score:    / 6

Find the coordinates of the point.

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

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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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