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Free · Class 9–10 · 5 worksheets · answer keys · practise online · set 7

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 7
Name:Date:Score:    / 12

Write the quadrant or the axis.

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

Abscissa and ordinate

Class 9 · Worksheet 2 · set 7
Name:Date:Score:    / 12

Write the value.

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

Distance formula

Class 10 · Worksheet 3 · set 7
Name:Date:Score:    / 10

Find the distance (simplest surd form).

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

Mid-point

Class 10 · Worksheet 4 · set 7
Name:Date:Score:    / 10

Find the mid-point.

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

Section formula

Class 10 · Worksheet 5 · set 7
Name:Date:Score:    / 6

Find the coordinates of the point.

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

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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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